In Red Lotus's calculations, the black dwarf star, upon entering the solar system, would trace a large orbital arc due to its own gravity and that of the sun.
This orbit would circle the outer solar system before returning to the inner solar system.
The first wave of impact would affect Jupiter, Uranus, and Neptune the most, not Venus, Earth, or Mars.
Of course, even if Earth is not greatly impacted, it would still deviate from its current orbit.
The real catastrophic impact on Earth would only occur on the black dwarf star's seventh entry into the solar system.
At that time, the entire solar system's orbits would be in chaos.
Only when the sun and the black dwarf star reach gravitational balance, forming a binary star system, would the solar system's orbits return to normal.
By then, who knows where Earth's orbit would be.
Too close to the sun, and it'd get scorched.
Too far, and it'd enter an ice age.