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Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The publication of the law has become known as the "first great unification", as it marked the unification of the previously described phenomena of gravity on Earth with known astronomical behaviors. This is a general physical law derived from empirical observations by what Isaac Newton called inductive reasoning. It is a part of classical mechanics and was formulated in Newton's work Philosophiæ Naturalis Principia Mathematica ("the Principia"), first published on 5 July 1687. When Newton presented Book 1 of the unpublished text in April 1686 to the Royal Society, Robert Hooke made a claim that Newton had obtained the inverse square law from him. In today's language, the law states that every point mass attracts every other point mass by a force acting along the line intersecting the two points. The force is proportional to the product of the two masses, and inversely proportional to the square of the distance between them. The equation for universal gravitation thus takes the form: F = G m1m2/r2 where F is the gravitational force acting between two objects, m1 and m2 are the masses of the objects, r is the distance between the centers of their masses, and G is the gravitational constant.

INTO JAPANESE

ニュートンの万有引力の法則は、通常、すべての粒子が、質量の積に比例し、中心間の距離の 2 乗に反比例する力で宇宙の他のすべての粒子を引き付けると述べられています。この法律の公布は、「最初の大統一」として知られるようになりました。

BACK INTO ENGLISH

Newton's law of universal gravitation generally states that all particles attract all other particles in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The promulgation of this law became known as the "First Great Unification".

INTO JAPANESE

ニュートンの万有引力の法則では、一般に、すべての粒子は、質量の積に比例し、中心間の距離の 2 乗に反比例する力で宇宙の他のすべての粒子を引き付けると述べています。この法律の公布は、「第一次大統一」として知られるようになりました。

BACK INTO ENGLISH

Newton's law of universal gravitation states that, in general, all particles attract all other particles in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The promulgation of this law became known as the "First Grand Unification."

INTO JAPANESE

ニュートンの万有引力の法則によれば、一般に、すべての粒子は、質量の積に比例し、中心間の距離の 2 乗に反比例する力で、宇宙の他のすべての粒子を引き付けます。この法律の公布は、「第一次大統一」として知られるようになりました。

BACK INTO ENGLISH

According to Newton's law of universal gravitation, in general all particles attract all other particles in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The promulgation of this law became known as the "First Grand Unification."

INTO JAPANESE

ニュートンの万有引力の法則によれば、一般に、すべての粒子は、質量の積に比例し、中心間の距離の 2 乗に反比例する力で、宇宙の他のすべての粒子を引き付けます。この法律の公布は、「第一次大統一」として知られるようになりました。

BACK INTO ENGLISH

According to Newton's law of universal gravitation, in general all particles attract all other particles in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The promulgation of this law became known as the "First Grand Unification."