%0 Journal Article %T Gravitation %A Angel Fierros Palacios %J Open Access Library Journal %V 3 %N 4 %P 1-12 %@ 2333-9721 %D 2016 %I Open Access Library %R 10.4236/oalib.1102141 %X In this paper, it is proved that the small deformation strain tensor can be used instead the fundamental metric tensor of the General Theory of Relativity, in order to formulate a Dynamic Theory of Gravitation. Also, a solution of the velocity of the gravitational interactions is given in terms of the escape velocity due to the apparent size of the heavenly bodies. This last paragraph is the motivation and the importance of the study here presented. Thus, when it has a couple of celestial bodies separated by a distance in space, its apparent sizes as seemed at a distance play a special role in the gravitational interactions. This is so because of some effect over the size due to the very big distance in space. In that situation, the values of their escape velocities are dependent on their mass, and critically on their apparent radius. It is proved that they are the medium used by the gravity to transmit its effects like propagating force of nature. Then, when the escape velocities meet in some point of the space between the bodies, they pull each other; because they are the carriers of the respective attractive gravitational fields. In other words, the escape velocity due to the apparent size is the exchanging coin in the gravitational interactions. Also it is proposed that such a dynamic process is the responsible for the strong link which is established between any couple of interacting heavenly objects in the Universe. %K Small Deformation Strain Tensor %K Velocity of the Gravitational Interactions %K Escape Velocity %U http://www.oalib.com/paper/3152638