Outgassing as a viable explanation of Oumuamua acceleration excess

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A recent paper on Oumuamua claims the following:




'Oumuamua (1I/2017 U1) is the first object of interstellar origin
observed in the Solar system. Recently, Micheli et al. (2018)
reported that 'Oumuamua showed deviations from a Keplerian orbit at a
high statistical significance. The observed trajectory is best
explained by an excess radial acceleration Δa∝r−2, where r is the
distance of 'Oumuamua from the Sun. Such an acceleration is naturally
expected for comets, driven by the evaporating material. However,
recent observational and theoretical studies imply that 'Oumuamua is
not an active comet. We explore the possibility that the excess
acceleration results from Solar radiation pressure. The required
mass-to-area ratio is m/A≈0.1 g cm−2. For a thin sheet, this requires
a width of w≈0.3−0.9 mm. We find that although extremely thin, such an
object would survive an interstellar travel over Galactic distances of
∼5 kpc , withstanding collisions with gas and dust-grains as well as
stresses from rotation and tidal forces. We discuss the possible
origins of such an object including the possibility that it might be a
lightsail of artificial origin. Our general results apply to any light
probes designed for interstellar travel




This assumes the impulse is merely due to radiation pressure, so assuming that the outgassing is zero or below some upper bound. Is not clear how tight is the upper bound in outgassing thanks to lack of gas activity during perihelion.



But the more interesting aspect is that acceleration excess decreases with inverse square law. Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid



Is outgassing a viable explanation to acceleration dependence with inverse square law of distance? how tight is the upper bound on undetectable outgassing?










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    This may be a better fit for the astronomy stack exchange.
    – Organic Marble
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    @OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
    – uhoh
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up vote
1
down vote

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A recent paper on Oumuamua claims the following:




'Oumuamua (1I/2017 U1) is the first object of interstellar origin
observed in the Solar system. Recently, Micheli et al. (2018)
reported that 'Oumuamua showed deviations from a Keplerian orbit at a
high statistical significance. The observed trajectory is best
explained by an excess radial acceleration Δa∝r−2, where r is the
distance of 'Oumuamua from the Sun. Such an acceleration is naturally
expected for comets, driven by the evaporating material. However,
recent observational and theoretical studies imply that 'Oumuamua is
not an active comet. We explore the possibility that the excess
acceleration results from Solar radiation pressure. The required
mass-to-area ratio is m/A≈0.1 g cm−2. For a thin sheet, this requires
a width of w≈0.3−0.9 mm. We find that although extremely thin, such an
object would survive an interstellar travel over Galactic distances of
∼5 kpc , withstanding collisions with gas and dust-grains as well as
stresses from rotation and tidal forces. We discuss the possible
origins of such an object including the possibility that it might be a
lightsail of artificial origin. Our general results apply to any light
probes designed for interstellar travel




This assumes the impulse is merely due to radiation pressure, so assuming that the outgassing is zero or below some upper bound. Is not clear how tight is the upper bound in outgassing thanks to lack of gas activity during perihelion.



But the more interesting aspect is that acceleration excess decreases with inverse square law. Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid



Is outgassing a viable explanation to acceleration dependence with inverse square law of distance? how tight is the upper bound on undetectable outgassing?










share|improve this question

















  • 1




    This may be a better fit for the astronomy stack exchange.
    – Organic Marble
    2 hours ago






  • 1




    @OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
    – uhoh
    16 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











A recent paper on Oumuamua claims the following:




'Oumuamua (1I/2017 U1) is the first object of interstellar origin
observed in the Solar system. Recently, Micheli et al. (2018)
reported that 'Oumuamua showed deviations from a Keplerian orbit at a
high statistical significance. The observed trajectory is best
explained by an excess radial acceleration Δa∝r−2, where r is the
distance of 'Oumuamua from the Sun. Such an acceleration is naturally
expected for comets, driven by the evaporating material. However,
recent observational and theoretical studies imply that 'Oumuamua is
not an active comet. We explore the possibility that the excess
acceleration results from Solar radiation pressure. The required
mass-to-area ratio is m/A≈0.1 g cm−2. For a thin sheet, this requires
a width of w≈0.3−0.9 mm. We find that although extremely thin, such an
object would survive an interstellar travel over Galactic distances of
∼5 kpc , withstanding collisions with gas and dust-grains as well as
stresses from rotation and tidal forces. We discuss the possible
origins of such an object including the possibility that it might be a
lightsail of artificial origin. Our general results apply to any light
probes designed for interstellar travel




This assumes the impulse is merely due to radiation pressure, so assuming that the outgassing is zero or below some upper bound. Is not clear how tight is the upper bound in outgassing thanks to lack of gas activity during perihelion.



But the more interesting aspect is that acceleration excess decreases with inverse square law. Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid



Is outgassing a viable explanation to acceleration dependence with inverse square law of distance? how tight is the upper bound on undetectable outgassing?










share|improve this question













A recent paper on Oumuamua claims the following:




'Oumuamua (1I/2017 U1) is the first object of interstellar origin
observed in the Solar system. Recently, Micheli et al. (2018)
reported that 'Oumuamua showed deviations from a Keplerian orbit at a
high statistical significance. The observed trajectory is best
explained by an excess radial acceleration Δa∝r−2, where r is the
distance of 'Oumuamua from the Sun. Such an acceleration is naturally
expected for comets, driven by the evaporating material. However,
recent observational and theoretical studies imply that 'Oumuamua is
not an active comet. We explore the possibility that the excess
acceleration results from Solar radiation pressure. The required
mass-to-area ratio is m/A≈0.1 g cm−2. For a thin sheet, this requires
a width of w≈0.3−0.9 mm. We find that although extremely thin, such an
object would survive an interstellar travel over Galactic distances of
∼5 kpc , withstanding collisions with gas and dust-grains as well as
stresses from rotation and tidal forces. We discuss the possible
origins of such an object including the possibility that it might be a
lightsail of artificial origin. Our general results apply to any light
probes designed for interstellar travel




This assumes the impulse is merely due to radiation pressure, so assuming that the outgassing is zero or below some upper bound. Is not clear how tight is the upper bound in outgassing thanks to lack of gas activity during perihelion.



But the more interesting aspect is that acceleration excess decreases with inverse square law. Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid



Is outgassing a viable explanation to acceleration dependence with inverse square law of distance? how tight is the upper bound on undetectable outgassing?







interstellar-travel acceleration outgassing






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  • 1




    This may be a better fit for the astronomy stack exchange.
    – Organic Marble
    2 hours ago






  • 1




    @OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
    – uhoh
    16 mins ago












  • 1




    This may be a better fit for the astronomy stack exchange.
    – Organic Marble
    2 hours ago






  • 1




    @OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
    – uhoh
    16 mins ago







1




1




This may be a better fit for the astronomy stack exchange.
– Organic Marble
2 hours ago




This may be a better fit for the astronomy stack exchange.
– Organic Marble
2 hours ago




1




1




@OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
– uhoh
16 mins ago




@OrganicMarble I've left an answer, but people in Astronomy could have more to say as well.
– uhoh
16 mins ago










1 Answer
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tl;dr: The paper only explores the possibility that Δa doesn't come from outgassing and asks what are the implications if it were only radiation pressure. It shows that something hard and very thin could have survived the trip and exhibited the Δa due to radiation pressure alone. It doesn't say that that's what did happen. This leads to some interesting possibilities:



E.T. lost her kite!




We discuss the possible origins of such an object including the possibility that it might be a lightsail of artificial origin. Our general results apply to any light probes designed for interstellar travel.





This is a good question, and the OP is right. While the solar illumination on a solar-system body will scale as r-2, the various resulting propulsive effects may have more complex behavior.



Let's start with the linked paper there.



The ArXiv paper Could Solar Radiation Pressure Explain ‘Oumuamua's Peculiar Acceleration?'s abstract says:




The observed trajectory is best explained by an excess radial acceleration Δa∝r−2, where r is the distance of 'Oumuamua from the Sun. Such an acceleration is naturally expected for comets, driven by the evaporating material.




One key to the OP's question lies in what the phrase "...is best explained by..." means, or at least how it is often used in science. In cases like this it really just means "can be fit by" or "is consistent with".




  1. ACCELERATION BY RADIATION PRESSURE

Micheli et al. (2018) had shown that Oumuamua’s experiences an excess radial acceleration, with their best fit model



$$Delta a = a_0left( fracrAUright)^n$$



with n = -2 and a_0 = (4.92±0.16)×10−4 cm s−2




That's Micheli, M., Farnocchia, D., Meech, K. J., et al. 2018, Nature, 559, 223: Non-gravitational acceleration in the trajectory of 1I/2017 U1 (‘Oumuamua)



That's pretty small, the paper postulates that if 'Oumuamua were only a few millimeters thick, then the deviation from Keplerian could be explained by the weak solar pressure.




The OP mentions:




Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid




That's certainly right. But with such a small amount of data from an object so far away with so little known about it, astronomers will reach for the simplest functions to start, and those are power laws.



In my question Did Rosetta improve on models of non-gravitational effects on comet 67P's orbit? I outline the Marsden parameterization for non-Keplerian effects on solar-system bodies.




Using the following convention: $hatmathbfe_R, hatmathbfe_T, hatmathbfe_N$ are unit vectors at the location of the comet in the radial, transverse, and normal directions where $hatmathbfe_R$ points away from the sun, $hatmathbfe_N$ is the direction of the angular momentum vector (perpendicular to the orbit plane) and $hatmathbfe_T$ is perpendicular to the first two and approximately in the direction of motion, non-gravitational accelerations can be parameterized using the empirical equations:



$$mathbfa_NG = (
A_1hatmathbfe_R +
A_2hatmathbfe_T +
A_3hatmathbfe_N) g(r), $$



where:



$$g(r)= 0.111262left(fracr2.808right)^-2.15 left(1+left(fracr2.808right)^5.093right)^-4.6142, $$



and the acceleration coeficients $A_1,A_2,A_3$ commonly have units of $AU / day^2$.




That's a parameterization and the exponents of those two power-law terms are just optimized somehow. They are meant to capture some effects of outgassing without getting into the gory details.



More about Brian G. Marsden: Wikipedia, and New York TImes and Columbia University.




Enough with the background already! What's the point?



The linked ArXiv paper Bialy and Loeb 2018 would like to explore the possibility that the acceleration deviation might be only due to radiation pressure without outgassing. Not that it doesn't, this is only a "what if". This "what if" is consistent with the data, (which itself is consistent with inverse-square), if 'Oumuamua were a few millimeters thick.






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    tl;dr: The paper only explores the possibility that Δa doesn't come from outgassing and asks what are the implications if it were only radiation pressure. It shows that something hard and very thin could have survived the trip and exhibited the Δa due to radiation pressure alone. It doesn't say that that's what did happen. This leads to some interesting possibilities:



    E.T. lost her kite!




    We discuss the possible origins of such an object including the possibility that it might be a lightsail of artificial origin. Our general results apply to any light probes designed for interstellar travel.





    This is a good question, and the OP is right. While the solar illumination on a solar-system body will scale as r-2, the various resulting propulsive effects may have more complex behavior.



    Let's start with the linked paper there.



    The ArXiv paper Could Solar Radiation Pressure Explain ‘Oumuamua's Peculiar Acceleration?'s abstract says:




    The observed trajectory is best explained by an excess radial acceleration Δa∝r−2, where r is the distance of 'Oumuamua from the Sun. Such an acceleration is naturally expected for comets, driven by the evaporating material.




    One key to the OP's question lies in what the phrase "...is best explained by..." means, or at least how it is often used in science. In cases like this it really just means "can be fit by" or "is consistent with".




    1. ACCELERATION BY RADIATION PRESSURE

    Micheli et al. (2018) had shown that Oumuamua’s experiences an excess radial acceleration, with their best fit model



    $$Delta a = a_0left( fracrAUright)^n$$



    with n = -2 and a_0 = (4.92±0.16)×10−4 cm s−2




    That's Micheli, M., Farnocchia, D., Meech, K. J., et al. 2018, Nature, 559, 223: Non-gravitational acceleration in the trajectory of 1I/2017 U1 (‘Oumuamua)



    That's pretty small, the paper postulates that if 'Oumuamua were only a few millimeters thick, then the deviation from Keplerian could be explained by the weak solar pressure.




    The OP mentions:




    Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid




    That's certainly right. But with such a small amount of data from an object so far away with so little known about it, astronomers will reach for the simplest functions to start, and those are power laws.



    In my question Did Rosetta improve on models of non-gravitational effects on comet 67P's orbit? I outline the Marsden parameterization for non-Keplerian effects on solar-system bodies.




    Using the following convention: $hatmathbfe_R, hatmathbfe_T, hatmathbfe_N$ are unit vectors at the location of the comet in the radial, transverse, and normal directions where $hatmathbfe_R$ points away from the sun, $hatmathbfe_N$ is the direction of the angular momentum vector (perpendicular to the orbit plane) and $hatmathbfe_T$ is perpendicular to the first two and approximately in the direction of motion, non-gravitational accelerations can be parameterized using the empirical equations:



    $$mathbfa_NG = (
    A_1hatmathbfe_R +
    A_2hatmathbfe_T +
    A_3hatmathbfe_N) g(r), $$



    where:



    $$g(r)= 0.111262left(fracr2.808right)^-2.15 left(1+left(fracr2.808right)^5.093right)^-4.6142, $$



    and the acceleration coeficients $A_1,A_2,A_3$ commonly have units of $AU / day^2$.




    That's a parameterization and the exponents of those two power-law terms are just optimized somehow. They are meant to capture some effects of outgassing without getting into the gory details.



    More about Brian G. Marsden: Wikipedia, and New York TImes and Columbia University.




    Enough with the background already! What's the point?



    The linked ArXiv paper Bialy and Loeb 2018 would like to explore the possibility that the acceleration deviation might be only due to radiation pressure without outgassing. Not that it doesn't, this is only a "what if". This "what if" is consistent with the data, (which itself is consistent with inverse-square), if 'Oumuamua were a few millimeters thick.






    share|improve this answer


























      up vote
      3
      down vote













      tl;dr: The paper only explores the possibility that Δa doesn't come from outgassing and asks what are the implications if it were only radiation pressure. It shows that something hard and very thin could have survived the trip and exhibited the Δa due to radiation pressure alone. It doesn't say that that's what did happen. This leads to some interesting possibilities:



      E.T. lost her kite!




      We discuss the possible origins of such an object including the possibility that it might be a lightsail of artificial origin. Our general results apply to any light probes designed for interstellar travel.





      This is a good question, and the OP is right. While the solar illumination on a solar-system body will scale as r-2, the various resulting propulsive effects may have more complex behavior.



      Let's start with the linked paper there.



      The ArXiv paper Could Solar Radiation Pressure Explain ‘Oumuamua's Peculiar Acceleration?'s abstract says:




      The observed trajectory is best explained by an excess radial acceleration Δa∝r−2, where r is the distance of 'Oumuamua from the Sun. Such an acceleration is naturally expected for comets, driven by the evaporating material.




      One key to the OP's question lies in what the phrase "...is best explained by..." means, or at least how it is often used in science. In cases like this it really just means "can be fit by" or "is consistent with".




      1. ACCELERATION BY RADIATION PRESSURE

      Micheli et al. (2018) had shown that Oumuamua’s experiences an excess radial acceleration, with their best fit model



      $$Delta a = a_0left( fracrAUright)^n$$



      with n = -2 and a_0 = (4.92±0.16)×10−4 cm s−2




      That's Micheli, M., Farnocchia, D., Meech, K. J., et al. 2018, Nature, 559, 223: Non-gravitational acceleration in the trajectory of 1I/2017 U1 (‘Oumuamua)



      That's pretty small, the paper postulates that if 'Oumuamua were only a few millimeters thick, then the deviation from Keplerian could be explained by the weak solar pressure.




      The OP mentions:




      Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid




      That's certainly right. But with such a small amount of data from an object so far away with so little known about it, astronomers will reach for the simplest functions to start, and those are power laws.



      In my question Did Rosetta improve on models of non-gravitational effects on comet 67P's orbit? I outline the Marsden parameterization for non-Keplerian effects on solar-system bodies.




      Using the following convention: $hatmathbfe_R, hatmathbfe_T, hatmathbfe_N$ are unit vectors at the location of the comet in the radial, transverse, and normal directions where $hatmathbfe_R$ points away from the sun, $hatmathbfe_N$ is the direction of the angular momentum vector (perpendicular to the orbit plane) and $hatmathbfe_T$ is perpendicular to the first two and approximately in the direction of motion, non-gravitational accelerations can be parameterized using the empirical equations:



      $$mathbfa_NG = (
      A_1hatmathbfe_R +
      A_2hatmathbfe_T +
      A_3hatmathbfe_N) g(r), $$



      where:



      $$g(r)= 0.111262left(fracr2.808right)^-2.15 left(1+left(fracr2.808right)^5.093right)^-4.6142, $$



      and the acceleration coeficients $A_1,A_2,A_3$ commonly have units of $AU / day^2$.




      That's a parameterization and the exponents of those two power-law terms are just optimized somehow. They are meant to capture some effects of outgassing without getting into the gory details.



      More about Brian G. Marsden: Wikipedia, and New York TImes and Columbia University.




      Enough with the background already! What's the point?



      The linked ArXiv paper Bialy and Loeb 2018 would like to explore the possibility that the acceleration deviation might be only due to radiation pressure without outgassing. Not that it doesn't, this is only a "what if". This "what if" is consistent with the data, (which itself is consistent with inverse-square), if 'Oumuamua were a few millimeters thick.






      share|improve this answer
























        up vote
        3
        down vote










        up vote
        3
        down vote









        tl;dr: The paper only explores the possibility that Δa doesn't come from outgassing and asks what are the implications if it were only radiation pressure. It shows that something hard and very thin could have survived the trip and exhibited the Δa due to radiation pressure alone. It doesn't say that that's what did happen. This leads to some interesting possibilities:



        E.T. lost her kite!




        We discuss the possible origins of such an object including the possibility that it might be a lightsail of artificial origin. Our general results apply to any light probes designed for interstellar travel.





        This is a good question, and the OP is right. While the solar illumination on a solar-system body will scale as r-2, the various resulting propulsive effects may have more complex behavior.



        Let's start with the linked paper there.



        The ArXiv paper Could Solar Radiation Pressure Explain ‘Oumuamua's Peculiar Acceleration?'s abstract says:




        The observed trajectory is best explained by an excess radial acceleration Δa∝r−2, where r is the distance of 'Oumuamua from the Sun. Such an acceleration is naturally expected for comets, driven by the evaporating material.




        One key to the OP's question lies in what the phrase "...is best explained by..." means, or at least how it is often used in science. In cases like this it really just means "can be fit by" or "is consistent with".




        1. ACCELERATION BY RADIATION PRESSURE

        Micheli et al. (2018) had shown that Oumuamua’s experiences an excess radial acceleration, with their best fit model



        $$Delta a = a_0left( fracrAUright)^n$$



        with n = -2 and a_0 = (4.92±0.16)×10−4 cm s−2




        That's Micheli, M., Farnocchia, D., Meech, K. J., et al. 2018, Nature, 559, 223: Non-gravitational acceleration in the trajectory of 1I/2017 U1 (‘Oumuamua)



        That's pretty small, the paper postulates that if 'Oumuamua were only a few millimeters thick, then the deviation from Keplerian could be explained by the weak solar pressure.




        The OP mentions:




        Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid




        That's certainly right. But with such a small amount of data from an object so far away with so little known about it, astronomers will reach for the simplest functions to start, and those are power laws.



        In my question Did Rosetta improve on models of non-gravitational effects on comet 67P's orbit? I outline the Marsden parameterization for non-Keplerian effects on solar-system bodies.




        Using the following convention: $hatmathbfe_R, hatmathbfe_T, hatmathbfe_N$ are unit vectors at the location of the comet in the radial, transverse, and normal directions where $hatmathbfe_R$ points away from the sun, $hatmathbfe_N$ is the direction of the angular momentum vector (perpendicular to the orbit plane) and $hatmathbfe_T$ is perpendicular to the first two and approximately in the direction of motion, non-gravitational accelerations can be parameterized using the empirical equations:



        $$mathbfa_NG = (
        A_1hatmathbfe_R +
        A_2hatmathbfe_T +
        A_3hatmathbfe_N) g(r), $$



        where:



        $$g(r)= 0.111262left(fracr2.808right)^-2.15 left(1+left(fracr2.808right)^5.093right)^-4.6142, $$



        and the acceleration coeficients $A_1,A_2,A_3$ commonly have units of $AU / day^2$.




        That's a parameterization and the exponents of those two power-law terms are just optimized somehow. They are meant to capture some effects of outgassing without getting into the gory details.



        More about Brian G. Marsden: Wikipedia, and New York TImes and Columbia University.




        Enough with the background already! What's the point?



        The linked ArXiv paper Bialy and Loeb 2018 would like to explore the possibility that the acceleration deviation might be only due to radiation pressure without outgassing. Not that it doesn't, this is only a "what if". This "what if" is consistent with the data, (which itself is consistent with inverse-square), if 'Oumuamua were a few millimeters thick.






        share|improve this answer














        tl;dr: The paper only explores the possibility that Δa doesn't come from outgassing and asks what are the implications if it were only radiation pressure. It shows that something hard and very thin could have survived the trip and exhibited the Δa due to radiation pressure alone. It doesn't say that that's what did happen. This leads to some interesting possibilities:



        E.T. lost her kite!




        We discuss the possible origins of such an object including the possibility that it might be a lightsail of artificial origin. Our general results apply to any light probes designed for interstellar travel.





        This is a good question, and the OP is right. While the solar illumination on a solar-system body will scale as r-2, the various resulting propulsive effects may have more complex behavior.



        Let's start with the linked paper there.



        The ArXiv paper Could Solar Radiation Pressure Explain ‘Oumuamua's Peculiar Acceleration?'s abstract says:




        The observed trajectory is best explained by an excess radial acceleration Δa∝r−2, where r is the distance of 'Oumuamua from the Sun. Such an acceleration is naturally expected for comets, driven by the evaporating material.




        One key to the OP's question lies in what the phrase "...is best explained by..." means, or at least how it is often used in science. In cases like this it really just means "can be fit by" or "is consistent with".




        1. ACCELERATION BY RADIATION PRESSURE

        Micheli et al. (2018) had shown that Oumuamua’s experiences an excess radial acceleration, with their best fit model



        $$Delta a = a_0left( fracrAUright)^n$$



        with n = -2 and a_0 = (4.92±0.16)×10−4 cm s−2




        That's Micheli, M., Farnocchia, D., Meech, K. J., et al. 2018, Nature, 559, 223: Non-gravitational acceleration in the trajectory of 1I/2017 U1 (‘Oumuamua)



        That's pretty small, the paper postulates that if 'Oumuamua were only a few millimeters thick, then the deviation from Keplerian could be explained by the weak solar pressure.




        The OP mentions:




        Outgassing pressure has dependency with temperature as well as pressure, is not clear to me that one would expect outgassing pressure to follow inverse square law just like radiation pressure, but something that depends on the thermodynamic sublimation properties of the hypothetical surface solid




        That's certainly right. But with such a small amount of data from an object so far away with so little known about it, astronomers will reach for the simplest functions to start, and those are power laws.



        In my question Did Rosetta improve on models of non-gravitational effects on comet 67P's orbit? I outline the Marsden parameterization for non-Keplerian effects on solar-system bodies.




        Using the following convention: $hatmathbfe_R, hatmathbfe_T, hatmathbfe_N$ are unit vectors at the location of the comet in the radial, transverse, and normal directions where $hatmathbfe_R$ points away from the sun, $hatmathbfe_N$ is the direction of the angular momentum vector (perpendicular to the orbit plane) and $hatmathbfe_T$ is perpendicular to the first two and approximately in the direction of motion, non-gravitational accelerations can be parameterized using the empirical equations:



        $$mathbfa_NG = (
        A_1hatmathbfe_R +
        A_2hatmathbfe_T +
        A_3hatmathbfe_N) g(r), $$



        where:



        $$g(r)= 0.111262left(fracr2.808right)^-2.15 left(1+left(fracr2.808right)^5.093right)^-4.6142, $$



        and the acceleration coeficients $A_1,A_2,A_3$ commonly have units of $AU / day^2$.




        That's a parameterization and the exponents of those two power-law terms are just optimized somehow. They are meant to capture some effects of outgassing without getting into the gory details.



        More about Brian G. Marsden: Wikipedia, and New York TImes and Columbia University.




        Enough with the background already! What's the point?



        The linked ArXiv paper Bialy and Loeb 2018 would like to explore the possibility that the acceleration deviation might be only due to radiation pressure without outgassing. Not that it doesn't, this is only a "what if". This "what if" is consistent with the data, (which itself is consistent with inverse-square), if 'Oumuamua were a few millimeters thick.







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        edited 11 mins ago

























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        uhoh

        31.4k15107385




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