Allman Mark C (13 results)

Hard Cover. Condition: As New. First Edition. First Printing (full # line) in laminated illustrated boards, no text markings, NOT ex-lib, binding tight pages bright, from collection of UCLA mathematician Nathaniel Grossman with his neat name to front endpaper, else new unread copy; 8vo; (xi) 250pp indexed.…

Hardcover. Condition: NF. Hardback in Near Fine condition without dust jacket. . 9.6 X 6.4 X 0.9 inches. 264 pages. * Quick Shipping * All Books Mailed in Boxes * Free Tracking Provided *.

Condition: New.

Condition: As New. Unread book in perfect condition.

Condition: New.

Condition: As New. Unread book in perfect condition.

Hardback. Condition: New. Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, the perturbed two-body problem for an oblate planet or for a nonsymmetric rotating planet is considered, as is the effect of drag on a satellite.The two-body problem is regularized, and the nonlinear differential equation is thereby transformed to a linear one by further embedding several of the integrals. Finally, a brief sketch of numerical methods is given, as the perturbation equations must be solved by numerical rather than by analytical methods. …

Hardcover. Condition: New.

Condition: New. In English.

Hardback. Condition: New. Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, the perturbed two-body problem for an oblate planet or for a nonsymmetric rotating planet is considered, as is the effect of drag on a satellite.The two-body problem is regularized, and the nonlinear differential equation is thereby transformed to a linear one by further embedding several of the integrals. Finally, a brief sketch of numerical methods is given, as the perturbation equations must be solved by numerical rather than by analytical methods. …

Hardcover. Condition: Brand New. 264 pages. 9.75x6.50x1.00 inches. In Stock.

Hardcover. Condition: Brand New. 264 pages. 9.75x6.50x1.00 inches. In Stock. This item is printed on demand.

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites. This book also introduces the two-body problem and solves it by developing six integrals of the motion, starting from Newton s three laws of .…