# Predicting the relativistic periastron advance of a binary without curving spacetime

## TL;DR

This paper demonstrates that a modified relativistic Newtonian Dynamics model can accurately predict the periastron advance of a binary system without requiring curved spacetime, aligning with predictions from general relativity.

## Contribution

It introduces a simple, non-curving spacetime model that reproduces the relativistic periastron advance, offering an alternative to Einstein's curved spacetime framework.

## Key findings

- Model predicts the same periastron advance as post-Newtonian general relativity.
- Provides a simpler alternative to curved spacetime for relativistic orbital predictions.
- Supports the validity of relativistic Newtonian Dynamics in binary systems.

## Abstract

Relativistic Newtonian Dynamics, the simple model used previously for predicting accurately the anomalous precession of Mercury, is now applied to predict the periastron advance of a binary. The classical treatment of a binary as a two-body problem is modified to account for the influence of the gravitational potential on spacetime. Without curving spacetime, the model predicts the identical equation for the relativistic periastron advance as the post-Newtonian approximation of general relativity formalism thereby providing further substantiation of this model.