Orbit Problem Revisited
نویسندگان
چکیده
In this letter, we revisit the orbit problem, which was studied in [1,2,3]. In [3], Kannan and Lipton proved that this problem is decidable in polynomial time. In this paper, we study the approximate orbit problem, and show that this problem is decidable except for one case.
منابع مشابه
SOLVING FUZZY LINEAR PROGRAMMING PROBLEMS WITH LINEAR MEMBERSHIP FUNCTIONS-REVISITED
Recently, Gasimov and Yenilmez proposed an approach for solving two kinds of fuzzy linear programming (FLP) problems. Through the approach, each FLP problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. Then, the crisp problem is solved by the use of the modified subgradient method. In this paper we will have another look at the earlier defuzzifi...
متن کاملMatched Asymptotic Expansions to the Circular Sitnikov Problem with Long Period
The circular Sitnikov problem is revisited, using matched asymptotic expansions. In the case of large oscillation periods, approximate analytical expressions for the period and the orbit of the third body are found. The results are compared with those described in the literature and show that the movement of the third body can be well described by two analytical solutions, the inner and outer s...
متن کاملLow-Thrust Optimal Orbit Raising with Plane Change
A new guidance scheme for the problem of Low-thrust transfer between inclined orbits is developed within the framework of optimal control theory. The objective of the guidance scheme is to provide the appropriate thrust steering program that will transfer the vehicle from an inclined low earth orbits to the high earth orbits. The presented guidance scheme is determined using Pontryagin’s princi...
متن کاملHigh Accuracy Relative Motion of Spacecraft Using Linearized Time-Varying J2-Perturbed Terms
This paper presents a set of linearized equations was derived for the motion, relative to an elliptical reference orbit, of an object influenced by J2 perturbation terms. Approximate solution for simulations was used to compare these equations and the linearized keplerian equations to the exact equations. The inclusion of the linearized perturbations in the derived equations increased the high ...
متن کاملMel’nikov method revisited
We illustrate a completely analytic approach to Mel’nikov theory, which is based on a suitable extension of a classical method, and which is parallel and – at least in part – complementary to the standard procedure. This approach can be also applied to some “degenerate” situations, as to the case of nonhyperbolic unstable points, or of critical points located at the infinity (thus giving rise t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1302.0566 شماره
صفحات -
تاریخ انتشار 2013