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doc: small corrections in guidelines
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Emilia Verzeni committed Aug 24, 2017
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4 changes: 2 additions & 2 deletions doc/guidelines.rst
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A rotor shaft according to any one of the preceding claims having a diameter of at least <measure type="interval"><num
atLeast="1">1</num><measure type="LENGTH" unit="m">m</measure></measure>

[..]sky positions lie within a <measure type="value"><num atMost="7">7</num> <measure type="ANGLE" unit="°">°</measure>
[..]sky positions lie within a <measure type="interval"><num atMost="7">7</num> <measure type="ANGLE" unit="°">°</measure>
</measure> radius of other planets[..]


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<date when="2014-10-19">October 19, 2014</date></measure>.

The arrival time of these particles spans a <measure type="interval"><num type="range">20</num>-<measure type="TIME"
unit="minute">minute</measure> time interval centered at <date when="2014-10-19T20:09">October 19, 2014 at 20:09 TDB</date></measure>
unit="minute">minute</measure> time interval centered at <date type="base" when="2014-10-19T20:09">October 19, 2014 at 20:09 TDB</date></measure>


Observations took place from <measure type="interval"><date from-iso="2014-10-19">October 19, 2014</date> to
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</encodingDesc>
</teiHeader>
<text xml:lang="en">
<p>Although the nucleus of comet C/2013 A1 (Siding Spring) will safely pass Mars in <measure type="value"><num>October 2014</num></measure>, the dust in the coma and tail will more closely approach the planet. Using a dynamical model of comet dust, we estimate the impact fluence. Based on our nominal model no impacts are expected at Mars. Relaxing our nominal model's parameters, the fluence is no greater than ∼ <measure type="value"><num>10 −7</num> <measure type="?" unit="grains m −2">grains m −2</measure></measure> for grain radii larger than <measure type="value"><num>10</num> <measure type="LENGTH" unit="µm">µm</measure></measure>. Mars orbiting spacecraft are unlikely to be impacted by large dust grains, but Mars may receive as many as ∼ <measure type="value"><num>10 7</num> <measure type="MASS" unit="grains">grains</measure></measure>, or ∼ <measure type="value"><num>100</num> <measure type="MASS" unit="kg">kg</measure></measure> of total dust. We also estimate the flux of impacting gas molecules commonly observed in comet comae.</p>
<p>Although the nucleus of comet C/2013 A1 (Siding Spring) will safely pass Mars in <measure type="value"><date when="2014-10">October 2014</date></measure>, the dust in the coma and tail will more closely approach the planet. Using a dynamical model of comet dust, we estimate the impact fluence. Based on our nominal model no impacts are expected at Mars. Relaxing our nominal model's parameters, the fluence is no greater than ∼ <measure type="value"><num>10 −7</num> <measure type="?" unit="grains m −2">grains m −2</measure></measure> for grain radii larger than <measure type="value"><num>10</num> <measure type="LENGTH" unit="µm">µm</measure></measure>. Mars orbiting spacecraft are unlikely to be impacted by large dust grains, but Mars may receive as many as ∼ <measure type="value"><num>10 7</num> <measure type="MASS" unit="grains">grains</measure></measure>, or ∼ <measure type="value"><num>100</num> <measure type="MASS" unit="kg">kg</measure></measure> of total dust. We also estimate the flux of impacting gas molecules commonly observed in comet comae.</p>
<p>Comet C/2013 A1 (Siding Spring) will pass Mars with a close approach distance of 1.35 ± <measure type="value"><num>0.05 × 10 5</num> <measure type="LENGTH" unit="km">km</measure></measure>, and a relative speed of <measure type="value"><num>55.96</num> <measure type="?" unit="km s −1">km s −1</measure></measure> on <measure type="value"><num>2014 Oct 19 at 18</num></measure>:<measure type="interval"><num type="base">29</num>±:<num type="range">03</num></measure> UTC (3-σ uncertainties; Farnocchia et al. 2014). The nucleus will miss the planet, its moons, and orbiting spacecraft. However, given the right combination of ejection velocity, ejection time, and response to radiation pressure, dust grains from the comet can reach the planet. Farnocchia et al. (2014) predict that Mars will miss the comet's orbit by <measure type="value"><num>2.7 × 10 4</num> <measure type="LENGTH" unit="km">km</measure></measure> at <measure type="value"><num>20:10</num> <measure type="?" unit="UTC">UTC</measure></measure>. This second close approach potentially reduces the energy required to place dust grains on impacting orbits. We present models of the dust and gas based on the summary of the comet's activity by Farnham et al. (in preparation) and estimate the impact hazard for Mars and its satellites as well as the comet gas flux at Mars.</p>
<p>To assess the impact hazard, we generated <measure type="value"><num>two</num></measure> simulations of <measure type="value"><num>10 9</num></measure> particles each, picked from broad parameter ranges. These raw simulations act as guides to determine which combinations of size, ejection speed, and ejection time may result in impacts. Next, we define more limited parameter sets that are carefully chosen to match known parameters of the comet. We select and weight particles from the raw simulations that match those sets, and use them to estimate the fluence at Mars. Below we describe our dynamical model, the raw simulations, and <measure type="value"><num>four</num></measure> parameter sets used to estimate the impact hazard.</p><p>The circumstances of the encounter are simulated with the dynamical model of Kelley (2006). For this study we msk@astro.umd.edu use the JPL ephemeris solution #46 ( Farnocchia et al. 2014). In order to reduce the required computational time, we modified the model to use the <measure type="value"><num>two</num></measure>-body (Keplerian) propagation functions from NASA's Navigation and Ancillary Information Facility SPICE toolkit. Dust grains are parameterized by β, the ratio of the force from solar radiation pressure to the force from solar gravity: β = <measure type="value"><num>0.57</num><measure type="?" unit="Q">Q</measure></measure> pr /ρa, where Q pr is the radiation pressure efficiency, ρ is the grain density in units of g cm −3 , and a is the grain radius in units of µm ( Burns et al. 1979). In the Keplerian solution, the gravitational force from the Sun is reduced by the factor (1 − β).</p>
<p>The magnitude of the error introduced by neglecting planetary perturbations can be estimated by comparing zero-ejection velocity syndynes (lines of constant β with variable ejection times; Finson &amp; Probstein 1968) generated using the Keplerian solution to those generated using the original code. The distances between the syndynes define the error. For grains ejected up to <measure type="value"><num>4</num> <measure type="TIME" unit="years">years</measure></measure> before the closest approach, the error is at most <measure type="value"><num>300</num> <measure type="LENGTH" unit="km">km</measure></measure> for dust found within <measure type="value"><num>10 6</num> <measure type="LENGTH" unit="km">km</measure></measure> from the nucleus. We also considered whether the gravitational pull of Mars is significant. Ignoring the atmosphere, particles grazing the surface are displaced &lt; 100 km at closest approach, and the cross-section enhancement factor from gravitational focusing by Mars is <measure type="value"><num>1.008</num></measure> (Jones &amp; Poole 2007). The Keplerian solution is sufficient for our purposes.</p>
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