We calculate the perifocus precession of Keplerian orbits under the influence of arbitrary central-force perturbations. Our result is in the form of a one-dimensional integral that is straightforward to evaluate numerically. We demonstrate the effectiveness of our formula for the case of the Yukawa potential. We obtain analytic results for potentials of the form V(r)=alpha r(n) and V(r) = alpha ln(r/lambda) in terms of the hypergeometric function F-2(1)(1/2 - n/2, 1- n/2: 2: e(2)), where e is the eccentricity. Our results reproduce the known general relativistic (n = -3), constant force (n=1), and cosmological constant (n=2) precession formulas. Planetary perihelion precessions are often used to constrain the sizes of hypothetical new weak forces-our results allow for more precise, and often stronger, constraints on such proposed new forces.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据