Non-Newtonian Gravitational Effects in Satellite Dynamics
| Scientific Paper | |
|---|---|
| Title | Non-Newtonian Gravitational Effects in Satellite Dynamics |
| Author(s) | [[]] |
| Keywords | Yukawa potential, Lagrange planetary equations, Sagnac interferometry, GRACE. |
| Published | 2010 |
| Journal | None |
| No. of pages | 8 |
Abstract
Many of today's gravity theories predict the existence of a non-Newtonian Yukawa type of correction to the gravitational potential. New experimental techniques such that of Sagnac interferometry can help explore the range Lamda greater or equal to 1014 m where such forces might be present. It may be, that future space missions will operate in this range which has been unexplored for very long time. Restricting ourselves to an Earth orbiting satellite we use a Lagrange perturbing potential approach, together with Lagrange planetary equations, in order to study the effect of such non-Newtonian potential in the range km. This is achieved by calculating the time rates of change of the orbital elements, for the earth orbiting satellite GRACE. All time rates of the orbital elements have been calculated on the Keplerian and precessing Keplerian ellipse of the orbital body under study. Of all the orbital elements the argument of the perigee is affected the most by this potential resulting to an K = -0.00241127 deg/d and -0.00241402 deg/d on Keplerian and precessing ellipse respectively.
