RESUMEN
Se diseñó un arreglo experimental distinto del de Cavendish, con objeto de verificar la interacción gravitacional entre masas distintas; encontrándose: una región de repulsión gravitacional; un punto de nula interacción; y más allá, una región de atracción gravitacional. Se supuso una relación universal constante entre el producto del cuadrado de las masas de cada planeta por su respectiva distancia al sol y se introdujo la idea que el momento angular para todos y cada uno de los planetas es una constante maxima para el sistema solar. Se descubrió que los resultados numéricos obtenidos para las masas de cada planeta bajo las consideraciones anteriores, son idénticos para cada planeta del sistema solar.
A B S T R A C T
An experimental arrangement different from that of Cavendish was designed with the objective to verify the gravitational interaction between different masses. The experiment showed a gravitational repulsion area, a point of no interaction and a gravitational attraction area. It was supposed that there exists a constant universal ratio between the product of the square of the masses of each planet and its respective distance from the sun, and that the angular momentum is a maximum constant for the solar system. It was discovered that the numeric results obtained for the masses of each planet of the solar system under the above considerations are identical for every planet of the solar system.
Key Words: A CAVENDISH DISTINCT METHOD; GRAVITATIONAL REPULSION; MASSES OF THE PLANETS.
Isaac Newton proposed that every gravitational interaction between two bodies with masses M and m, separate by a distance (R ) between their mass centers will always be of an attracting nature and that the attraction force (F) is equal to:
(1)
Where G represents the universal gravitation constant.
INTRODUCTION
The arrangement of our experiment is shown on Figure 1: Gravitational Fish Tank. It consists of a 16 m long, 40 cm high and 38 cm wide fish tank Three disks of the following masses M = 3.269 Kg; m2 = 0.923 Kg and m1 = 0.495 Kg were produced out from three one-inch wide wrought iron strips formed to a ring by welding of a diameter of 30, 15 and 10 inches.
A one inch wide wrought iron support was then placed perpendicularly on the inner face of each ring. An orifice was then drilled on each one of these structures and a 3/8" nut welded on it. Finally, each structure was covered with mortar by taking care not to obstruct the thread of the nut at the inner face of each disk.
Also, a metallic base made of a ½" thick wrought iron plate of 12 x 6" with a strip at the center of the square made also out of a ½" wide wrought iron.
Finally, a screw of two inches in length and 3/8 inch thread was welded to the center of said base, where masses m1 and m2 may be screwed onto individually. A styrofoam floating body was included with and eighteen by seven inch base and three inches in thickness.
A metal base was placed on this floating body; first with m1 and then m2. Along the exact center of the fish tank, a metal support was included on which M was suspended with an inextensible thread tied to M from a two inch screw. Mass M was suspended above the tank’s water level (which was 12 cm deep), taking care that the center of mass of m1 and m2 coincide with that of M.
Finally, a tape with centimeter graduation was adhered to the external face of the fish tank.
DESIGN
When mass m1 approached mass M (from either side), gravitational repulsion occurred, such that the floating body experienced an acceleration that decreased steadily until it reached 2.54 meters; this was the point of zero interaction for m1.
The floating body was then moved away and gravitational attraction was observed; again up to exactly R01=2.54 meters.
Mass m2 was then experimented on, such that when this body was approached to M, gravitational repulsion was observed, similarly to the effect on m1, except that the acceleration effect was less apparent, reaching 0.73 meters as the point of zero interaction of m2.
The floating body was then moved away and gravitational attraction was observed; until again it reached R02=0.73 meters.
EXPERIMENT
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