def total_mass_and_mass_ratio_to_component_masses(mass_ratio, total_mass):
    """
    Convert total mass and mass ratio of a binary to its component masses.

    Parameters
    ----------
    mass_ratio: float
        Mass ratio (mass_2/mass_1) of the binary
    total_mass: float
        Total mass of the binary

    Return
    ------
    mass_1: float
        Mass of the heavier object
    mass_2: float
        Mass of the lighter object
    """
    mass_1 = total_mass / (1 + mass_ratio)
    mass_2 = mass_1 * mass_ratio
    return mass_1, mass_2
