The existence of Lagrange coefficients under two-body dynamics is well known, and the concept forms the basis of robust algorithms for solving a variety of fundamental astrodynamics problems. The Lagrange coefficients are generalized to Vinti theory in the present work, where the Vinti potential describes the dynamics of small objects like spacecraft orbiting an oblate body. Exact expressions for the coefficients are provided in various forms alongside detailed derivations. Useful properties and geometrical interpretations are also established.

中文翻译：

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Vinti 理论的拉格朗日系数

双体动力学下拉格朗日系数的存在是众所周知的，这个概念构成了解决各种基本天体动力学问题的稳健算法的基础。在目前的工作中，拉格朗日系数被推广到 Vinti 理论，其中 Vinti 势描述了小物体的动力学，比如围绕扁球体运行的航天器。除了详细的推导之外，还以各种形式提供了系数的精确表达式。还建立了有用的特性和几何解释。