Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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Jovis in Solem ut 65 ad 124986 ſeu 1 ad 1923. Huic autem dif
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ferentiæ proportionalis eſt maxima Saturni efficacia ad perturban
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dum motum Jovis, & propterea perturbatio orbis Jovialis longe
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minor eſt quam ea Saturnii. </
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>Reliquorum orbium perturbationes
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ſunt adhuc longe minores, præterquam quod Orbis Terræ ſenſi
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biliter perturbatur a Luna. </
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>Commune centrum gravitatis Terræ
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& Lunæ, Ellipſin circum Solem in umbilico poſitum percurrit, &
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radio ad Solem ducto areas in eadem temporibus proportionales
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deſcribit, Terra vero circum hoc centrum commune motu men
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ſtruo revolvitur.
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PROPOSITIO XIV. THEOREMA XIV.
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Orbium Aphelia & Nodi quieſcunt.
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DE MUNDI
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SYSTEMATE</
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>Aphelia quieſcunt, per Prop. XI. Lib. I. ut & Orbium plana,
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per ejuſdem Libri Prop. 1. & quieſcentibus planis quieſcunt Nodi.
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Attamen a Planetarum revolventium & Cometarum actionibus in
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ſe invicem orientur inæqualitates aliquæ, ſed quæ ob parvitatem
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hic contemni poſſunt.
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Corol.
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1. Quieſcunt etiam Stellæ fixæ, propterea quod datas ad
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Aphelia Nodoſque poſitiones ſervant.
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Corol.
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2. Ideoque cum nulla ſit earum parallaxis ſenſibilis ex
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Terræ motu annuo oriunda, vires earum ob immenſam corporum
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diſtantiam nullos edent ſenſibiles effectus in regione Syſtematis
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noſtri. </
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>Quinimo Fixæ in omnes cæli partes æqualiter diſperſæ
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contrariis attractionibus vires mutuas deſtruunt, per Prop. LXX.
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Lib. I.
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Scholium.
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>Cum Planetæ Soli propiores (nempe Mercurius, Venus, Terra,
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& Mars) ob corporum parvitatem parum agant in ſe invicem:
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horum Aphelia & Nodi quieſcent, niſi quatenus a viribus Jovis,
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Saturni, & corporum ſuperiorum turbentur. </
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teſt per theoriam gravitatis, quod horum Aphelia moventur ali
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quantulum in conſequentia reſpectu fixarum, idQ.E.I. proporti
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one ſeſquiplicata diſtantiarum horum Planetarum a Sole. </
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>Ut ſi
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Aphelium Martis in annis centum conficiat 35′ in conſequentia
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reſpectu fixarum; Aphelia Terræ, Veneris, & Mercurii in annis
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centum conficient 18′. 36″, 11′. 27″, & 4′. 29″ reſpective. </
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<
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motus, ob parvitatem, negliguntur in hac Propoſitione.
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