Gravitation: An Elementary Explanation of the Principal Perturbations in the Solar System |
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Page xiv
... excen- tricities and the places of perihelia 123 177. Several similar cases in the solar system 125 178. The inequalities are generally greatest when the difference between the two numbers expressing the approximate proportion is small ...
... excen- tricities and the places of perihelia 123 177. Several similar cases in the solar system 125 178. The inequalities are generally greatest when the difference between the two numbers expressing the approximate proportion is small ...
Page 39
... ) To judge of the effect which a disturbing force , directed to the sun , will produce on the excen- tricity of a planet's orbit , let us suppose the planet to have left its perihelion , and to be moving MOTION OF APSES . 39.
... ) To judge of the effect which a disturbing force , directed to the sun , will produce on the excen- tricity of a planet's orbit , let us suppose the planet to have left its perihelion , and to be moving MOTION OF APSES . 39.
Page 42
... excen- tricity of the orbit is small , and , consequently , that a force perpen- dicular to the radius vector produces nearly the same effect as a force acting in the direction of a tangent to the ellipse . its motion , instead of ...
... excen- tricity of the orbit is small , and , consequently , that a force perpen- dicular to the radius vector produces nearly the same effect as a force acting in the direction of a tangent to the ellipse . its motion , instead of ...
Page 46
... excen- tric . Now , suppose the force increasing the velocity to act at aphelion . Just as before , the sun's attrac- tion will be unable to make the planet describe an orbit so small as its old orbit , and the distance at the opposite ...
... excen- tric . Now , suppose the force increasing the velocity to act at aphelion . Just as before , the sun's attrac- tion will be unable to make the planet describe an orbit so small as its old orbit , and the distance at the opposite ...
Page 69
... excen- tricity will either be increasing or diminishing from the action of these forces . We must assume , therefore , as our orbit is to have the same excentricity at each revo- lution , that the line of apses passes through the sun ...
... excen- tricity will either be increasing or diminishing from the action of these forces . We must assume , therefore , as our orbit is to have the same excentricity at each revo- lution , that the line of apses passes through the sun ...
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Common terms and phrases
aphelion apogee apojove apses progresses apses to regress B₁ B₁ to B2 C₁ causes the line central body centre College consequently consider Crown 8vo curve d₁ depending described disturbing body disturbing force directed disturbing force perpendicular disturbing planet earth's orbit Edition effect ellipse equal equator evection exactly excen excentricity exterior planet fcap force tends fourth satellite fundamental plane greater greatest inequality irregularity Jupiter Jupiter's orbit latus rectum less line of apses line of conjunction line of nodes longitude major axis mean distance moon moves moon's distance moon's orbit moves from B₂ nearly old orbit opposite perigee perihelion perijove periodic plane of reference planet is moving points of conjunction position produced proportion quadratures radius vector revolution revolving body revolving round round the sun Saturn second satellite sensible sun's attraction sun's distance suppose syzygies theory third satellite tion tricity true anomaly true place turbing force variation Venus
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