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- W2368753002 abstract "In general,the time required for a spaceship to go from Earth to another planet varies inversely with initial velocity (from Earth's surface).If absolute value of the initial velo- city is given,then there exists a direction of this velocity such that the time spent by the spaceship on the way is minimum.This is the result of our investigation of the minimum- time orbit from Earth to Mars. Suppose the orbits of Earth and Mars be circular,and lie in the same plane.The gravitational region of the Earth is a sphere with radius ρ=930,000 km (Egoroff's value). In this gravitational region,in determining the spaceship's motion it is only necessary to consider the Earth's attraction,and it is necessary to consider the Sun's attraction only, when the spaceship gets out of the Earth's gravitational region. Let v denote the initial velocity on Earth's surface,α denotes its direction with respect to the radius vector of the Earth from the Sun.v_(1a),α′ denote the values of v and α res- pectively at the boundary of Earth's gravitational region,and V_1,α_1 denote respectively the values of v_(1a),α′ relative to the Sun.The time spent by the spaceship inside and outside the Esrth's gravitational region are T_1,T_2 expressed by formulae (2),(6). If v is given there exists a certain value of α,such that T=T_1+T_2 is minimum, for the case v=14-16 km/sec,numerical calculation shows that α=42°-46°." @default.
- W2368753002 created "2016-06-24" @default.
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- W2368753002 date "1961-01-01" @default.
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- W2368753002 title "THE APPROXIMATE MINIMUM-TIME ORBIT OF A SPACESHIP FROM EARTH TO MARS" @default.
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