Engineering topics

Bond, Victor R.

Publications and source records attributed to Bond, Victor R..

7 records

NASA NTRS1993

An approach for finding long period elliptical orbits for precursor SEI missions

Precursors for Solar System Exploration Initiative (SEI) missions may require long period elliptical orbits about a planet. These orbits will typically have periods on the order of tens to hundreds of days. Some potential uses for these orbits may include the following: studying the effects of galactic cosmic radiation, parking orbits for engineering and operational test of systems, and ferrying orbits between libration points and low altitude orbits. This report presents an approach that can be used to find these orbits. The approach consists of three major steps. First, it uses a restricted three-body targeting algorithm to determine the initial conditions which satisfy certain desired final conditions in a system of two massive primaries. Then the initial conditions are transformed to an inertial coordinate system for use by a special perturbation method. Finally, using the special perturbation method, other perturbations (e.g., sun third body and solar radiation pressure) can be easily incorporated to determine their effects on the nominal trajectory. An algorithm potentially suitable for on-board guidance will also be discussed. This algorithm uses an analytic method relying on Chebyshev polynomials to compute the desired position and velocity of the satellite as a function of time. Together with navigation updates, this algorithm can be implemented to predict the size and timing for AV corrections.

Fraietta, Michael F.↗

NASA NTRS1991

Elimination of secular terms from the differential equations for the elements of perturbed two-body motion

In 1961, Sperling linearized and regularized the differential equations of motion of the two-body problem by changing the independent variable from time to fictitious time by Sundman's transformation (r = dt/ds) and by embedding the two-body energy integral and the Laplace vector. In 1968, Burdet developed a perturbation theory which was uniformly valid for all types of orbits using a variation of parameters approach on the elements which appeared in Sperling's equations for the two-body solution. In 1973, Bond and Hanssen improved Burdet's set of differential equations by embedding the total energy (which is a constant when the potential function is explicitly dependent upon time.) The Jacobian constant was used as an element to replace the total energy in a reformulation of the differential equations of motion. In the process, another element which is proportional to a component of the angular momentum was introduced. Recently trajectories computed during numerical studies of atmospheric entry from circular orbits and low thrust beginning in near-circular orbits exhibited numerical instability when solved by the method of Bond and Gottlieb (1989) for long time intervals. It was found that this instability was due to secular terms which appear on the righthand sides of the differential equations of some of the elements. In this paper, this instability is removed by the introduction of another vector integral called the delta integral (which replaces the Laplace Vector) and another scalar integral which removes the secular terms. The introduction of these integrals requires a new derivation of the differential equations for most of the elements. For this rederivation, the Lagrange method of variation of parameters is used, making the development more concise. Numerical examples of this improvement are presented.

Bond, Victor R.↗

NASA NTRS1991

Jacobi-Integral Method For Two-Body Problem

Jacobi-integral method enables efficient, accurate computation of trajectory of natural satellite or spacecraft perturbed by component of gravitational potential depending explicitly on both position and time. Instead of total energy, Jacobi integral, which is energylike constant of motion in this case, embedded in Newtonian differential equations of motion. Trajectories computed in fewer steps. With modifications, applicable to such terrestrial problems as motions of rotors and of beams of electrically charged particles in changing electrical and magnetic fields.

Bond, Victor R.↗

NASA NTRS1991

Optimal cycling between cislunar and cismartian libration points with reusable nuclear electric transfer vehicles

A cyclical Mars exploration scenario is described which combines the use of libration points in the earth-moon and sun-Mars systems with a pair of reusable nuclear electric propulsion (NEP) transfer vehicles. In this approach, the NEP transfer vehicles are stationed at the cislunar and cismartian libration points, and involves short cislunar point escape and capture spirals. It eliminates any spiral requirements at Mars by utilizing the cismartian point as a transportation node. Chemical/aerobrake vehicles are used to transport humans between earth and the cislunar point as well as between Mars and the cismartian point.

Sponaugle, Steven J.↗

NASA NTRS1989

Computing Geopotential Perturbations

Improved formulation reduces error and number of computational steps. Report describes method for calculating partial derivative of geopotential perturbation with respect to time. Useful in computations of orbit of lightweight satellite in which total orbital energy or related parameter one of dependent variables.

Bond, Victor R.↗

NASA NTRS1988

Computation of orbits using total energy

The computation of orbits can be done more efficiently by the use of any of several new formulations of the perturbed two body problem which consider the total energy of the orbital system as one of the dependent variables. The total energy is the osculating two body energy plus the potential energy due to perturbing masses. The use of the total energy as the dependent variable instead of the two body energy is a relatively new idea. The advantage of using total energy arises from the fact that the more perturbing potential energy that is accounted for in the total energy variable, the more nearly constant is the total energy. In fact, except for dissipative forces such as drag, the only reason for the total energy not being constant is the rotation or revolution of the perturbing mass. This near constancy of the total energy has the effect of inhibiting error growth during numerical solution. This paper will present the results of an application of total energy formulation to the problem of the precise computation of orbits.

Bond, Victor R.↗

NASA NTRS1961

Measurements and Calculations of the Effects of Distortions in the Collector Surface on Efficiencies of Umbrella-Type Solar Collectors

The meridional tensions along the ribs in a Mylar-covered umbrella-type solar collector produce a distortion in the reflecting surface that is detrimental to the image in the focal plane. The investigation reported herein was made to obtain measured and calculated geometric efficiencies of umbrella-type collectors as affected by these surface distortions. These studies show that if the tension transverse to the ribs is increased relative to the meridional tensions, the distortion is reduced and higher efficiencies can be attained, and if the transverse tension is small, the number of ribs in the collector must be increased for higher efficiencies.

Bond, Victor R.↗