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Hulkower, N. D.

Publications and source records attributed to Hulkower, N. D..

Accessibility of near-earth asteroids

Missions to near-earth asteroids are of interest to both scientists and prospectors in search of extraterrestrial materials. The primary consideration in selecting the object to explore is accessibility, or the global minimum total Delta-V for a two-impulse transfer or less than 360 deg from standard Shuttle orbit to rendezvous with the asteroid. A ranking by accessibility of all known near-earth asteroids is presented. In addition, actual mission opportunities with launch dates between 1990 and 2010 for the most accessible are listed and compared with the optimal rendezvous. Actual sample return opportunities are investigated for the best candidates.

Lau, C. O.↗

Interplanetary missions for the late twentieth century

A set of missions that is feasible during the remainder of this century and which will significantly contribute to our understanding of the solar system is presented. Targets include comets, asteroids, the outer planets and their satellites, and Mars. Mission opportunities for these targets are described in terms of launch vehicle, propulsion, and flight-time requirements, as well as other mission constraints such as launch payload margin and launch period objectives. Examples of encounter designs are also given.

Wallace, R. A.↗

Optimum two-impulse transfers for preliminary interplanetary trajectory design

A method for numerically determining the optimum two-impulse transfer between two positions in two different heliocentric orbits is described. The formulas are based on earlier work by McCue and Bender (1965) for optimum two-impulse transfers between two orbits about the earth. The contours of minimum total Delta-V(Delta-V to launch plus Delta-V to achieve a given final orbit at the target body) are plotted on axes of true anomaly of the launch body at launch and true anomaly of the target body at arrival. The optimum transfers obtained are 'time-open' and the Delta-V from the initial orbit to the final orbit is found using patched conics. These 'prime rib' plots are useful for selecting initial conditions in the early phases of mission design.

Hulkower, N. D.↗

The discovery of 1982 DB, the most accessible asteroid known

A small Apollo object was found while photographing the split comet DuToit 2-Hartley on February 27/28, 1982. Designated 1982 DB, this earth-crossing asteroid passed the earth at a distance of 4.08 million km about 1 month prior to its discovery. Asteroid 1982 DB has been determined to be the most accessible near-earth minor planet known. It provides many excellent opportunities for rendezvous and sample return missions, and a rare dual rendezvous mission with 1980 AA as the second target. For a mission to be realized, opportunities to observe 1982 DB during future apparitions must be taken.

Helin, E. F.↗

Missions to the asteroid Anteros and the space of true anomalies

Three opportunities for missions to rendezvous ballistically with the earth-crossing asteroid Anteros are studied to illustrate the requirements for a trip to a near-earth minor planet. The rationale, sample payload, spacecraft requirements and trajectory characteristics of these opportunities are typical of a rendezvous mission to an accessible near-earth object. Round trip ballistic trajectories to return small samples of the asteroid with launch dates between 1985 and 2000 are also presented. Contours of minimum total delta drawn in the space of launch and arrival true anomalies, given the designation Prime Rib curves, are introduced as a useful tool for mission design.

Hulkower, N. D.↗

Mission design for the low-cost Mariner Mark II missions

Mariner Mark II is a program of missions, now under study at JPL, which will maximize scientific return at substantially reduced cost. There will be 3 to 5 missions in the program investigating comets, asteroids, the outer planets and their satellites, and Mars in the 1990s. Mission opportunities for these targets in this time period are described in terms of launch vehicle, propulsion, and flight time requirements, as well as other mission constraints such as margin and launch period objectives. Example encounter designs as well as mission launch scenarios are also described.

Wallace, R. A.↗

Exploration of the asteroids

A mission to an earth-crossing asteroid would be useful to avert a threatened collision, to utilize its resources, or for scientific investigations. Realizable launch opportunities to 1943 Anteros occur about every two years, and the 1987 and 1990 opportunities are being extensively studied. The mission craft would carry remote sensing instruments and obtain the shape, size, surface structure, rotation rate, axis of rotation and color differences of the asteroid. The chemical composition of the surface and the gravitational field would be studied. Although a free fall landing on the surface is feasible, a soft landing that takes account of the asteroid's gravity and rotation is desirable. In situ experiments would be accomplished with the aid of a penetrator fired from a tube on the mother spacecraft with the penetrator carrying an accelerometer, alpha-scattering device, water detector, magnetometer and seismometer.

French, J. R., Jr.↗

Optimal orbital transfers and prime rib curves for mission design

Battin's work on optimal one impulse transfers from circular orbits is extended. Optimal one impulse trajectories from orbits of arbitrary eccentricity through a specified point are determined. This work is then further extended to optimal two impulse transfers between massive planets. Curves derived using this technique are presented showing flyby and rendezvous Delta V requirements for all combinations of launch and arrival true anomalies. Similar curves for times of flight corresponding to the trajectories with minimum total Delta V are derived using Lambert's methods. Possible further extension of these techniques are outlined. The use of these curves for mission design is presented in a companion paper by Hulkower and Ross (1971).

Ross, D. J.↗

A mission to rendezvous with Anteros

A modest mission to rendezvous with the earth-approaching asteroid, Anteros, is studied. A 10-day launch window of May 16 to 25, 1985 is suggested. The times of flight range from 402 to 455 days and the launch energies per unit mass range from 32.9 to 37.3 km/sq sec. Rendezvous can be achieved with a postlaunch change in velocity of from 562 to 1001 m/sec. A mass of at least 615 kg can be delivered into orbit about the asteroid by the Titan 34D/IUS Two-Stage with 50 to 100 kg available for scientific instrumentation. The 1985 opportunity is compared to the 1987 trajectory identified by Niehoff (1977). Rendezvous opportunities are examined in the space of launch and arrival true anomalies.

Hulkower, N. D.↗

Central configurations and hyperbolic-elliptic motion in the three-body problem

A refined classification of motion for the planar three-body problem with zero-sum total energy is presented. The structure and dimensions of the sets of initial conditions leading to parabolic expansion or hyperbolic-elliptic motion are found. Attention is given to the use of the Hamiltonian of the system and to the two- and three-dimensional problem. It is verified that the new coordinates of position and linear momentum approaches limits as t (time) approaches infinity, and that these limits constitute equilibrium solutions to the three-body problem representing control configurations.

Hulkower, N. D.↗