Examples of the Galactic orbits of Glise 143 (left panel) and the 61 Cyg binary (right). For Glise 143 and 61 Cyg A we plot the position of the star and asteroids 1.0 Gyr ago, 0.8, 0.6, 0.4, and 0.2 Gyr ago, and today. We plot the orbits of both stars 61 Cyg A (red dotted line) and 61 Cyg B (blue dotted line). Both stars start 1 Gyr ago at the big studs to the top of the figure. The planets for 61 Cyg A are plotted only for the current epoch (when the star is near the Sun, to the left). At this time, two planets still orbit the star, but the other two planets were ejected early in the calculation. By the current time shown here, the ejected planets have moved away considerably from the star. The main differences in the Galactic orbits of the two stars 61 Cyg A and 61 Cyg B (compare the red and blue dotted curves in the right-hand panel) is caused by the ejection of these two planets.