Gravitation: An Elementary Explanation of the Principal Perturbations in the Solar System |
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Page xii
... suppose the central force diminished or increased 74 75 101. The line of apses coinciding with the line of quadratures , the forces cause the line of apses to regress 104. The regression is less than the progression in the former case ...
... suppose the central force diminished or increased 74 75 101. The line of apses coinciding with the line of quadratures , the forces cause the line of apses to regress 104. The regression is less than the progression in the former case ...
Page 4
... suppose that the sun and Jupiter are at equal distances from Saturn ; the sun is about a thousand times as big as Jupiter ; then whatever be the number of inches through which Jupiter draws Saturn in one second of time , the sun draws ...
... suppose that the sun and Jupiter are at equal distances from Saturn ; the sun is about a thousand times as big as Jupiter ; then whatever be the number of inches through which Jupiter draws Saturn in one second of time , the sun draws ...
Page 7
... Suppose that a body is projected in a direction transverse to , or crossing , the direction in which the force draws it , how will it move ? ( 14. ) The simplest instance of this motion that we can imagine is the motion of a stone when ...
... Suppose that a body is projected in a direction transverse to , or crossing , the direction in which the force draws it , how will it move ? ( 14. ) The simplest instance of this motion that we can imagine is the motion of a stone when ...
Page 13
... suppose to be necessary at some past time to account for the planet's motion , but which acts no more . The planets are in motion , and it is of no consequence to our inquiry how they received this motion , but it is convenient , for ...
... suppose to be necessary at some past time to account for the planet's motion , but which acts no more . The planets are in motion , and it is of no consequence to our inquiry how they received this motion , but it is convenient , for ...
Page 18
... suppose the revolving body to be projected at a certain place in a known direction with a given velocity , the length of the axis major , the excentricity , the posi- tion of the line of apses , and the periodic time , may all be ...
... suppose the revolving body to be projected at a certain place in a known direction with a given velocity , the length of the axis major , the excentricity , the posi- tion of the line of apses , and the periodic time , may all be ...
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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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