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| Content Provider | Springer Nature Link |
|---|---|
| Author | McMahon, Jay Scheeres, Daniel |
| Copyright Year | 2010 |
| Abstract | A detailed derivation of the effect of solar radiation pressure on the orbit of a body about a primary orbiting the Sun is given. The result is a set of secular equations that can be used for long-term predictions of changes in the orbit. Solar radiation pressure is modeled as a Fourier series in the body’s rotation state, where the coefficients are based on the shape and radiation properties of the body as parameters. In this work, the assumption is made that the body is in a synchronous orbit about the primary and rotates at a constant rate. This model is used to write explicit variational equations of the energy, eccentricity vector, and angular momentum vector for an orbiting body. Given that the effect of the solar radiation pressure and the orbit are periodic functions, they are readily averaged over an orbit. Furthermore, the equations can be averaged again over the orbit of the primary about the Sun to give secular equations for long-term prediction. This methodology is applied to both circular and elliptical orbits, and the full equations for secular changes to the orbit in both cases are presented. These results can be applied to natural systems, such as the binary asteroid system 1999 KW4, to predict their evolution due to the Binary YORP effect, or to artificial Earth orbiting, nadir-pointing satellites to enable more precise models for their orbital evolution. |
| Starting Page | 261 |
| Ending Page | 300 |
| Page Count | 40 |
| File Format | |
| ISSN | 09232958 |
| Journal | Celestial Mechanics and Dynamical Astronomy |
| Volume Number | 106 |
| Issue Number | 3 |
| e-ISSN | 15729478 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2010-02-04 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Binary YORP BYORP Solar radiation pressure Orbit perturbations Binary asteroids NEAs Mathematics Astronomy, Observations and Techniques Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science |
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