Abstract

The law of cosmological gravitational force is proposed in addition to Newton's law of gravitation. The law operates beyond the limit of applicability of Newton's law of gravitation and is applicable to the gravitational interaction of the universe. The new law of gravitational force shows that any body of mass m is subject to the cosmological force proportional to the mass of the body and the cosmological constant Ʌ. The formula for the law of cosmological force is: F = (mc^2)√Ʌ. Instead of the gravitational constant G, the cosmological constant Ʌ is included in the cosmological force law. The new law gives the value of the force very close to the value of the Pioneer anomaly.