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Another feature of the Editor Screen is the panel under the buttons. This panel contains the name of the le currently being edited. If the le is a new one that has not been previously saved and named, it will hold the name NoName.BAS, otherwise it will have the le s full name. On the far right of the buttons panel, you will see a line and column number eld. This indicates the line number where the cursor is currently positioned in the editor and the number after the comma is the character number in the line. To run the program currently loaded in the editor either, click the Run menu and the Run Program submenu, or click the button, or use the Ctrl+R shortcut on the keyboard. While a program is running this button and its corresponding menus are disabled. It will be enabled when you halt the program or the program ends, or an error occurs during the program run. Running a program will bring up the Terminal Screen and display any program interaction on this screen (see Sec. A.2). The editor in RobotBASIC is very similar to Windows Notepad program. The menu and speed buttons allow for many helpful features. You can save and open les. You can search and search and replace . You can Cut, Paste, Copy, Undo, and Print. Additionally, you can view a help le that contains information on all the features of the language.

of nodes, which is in the equatorial plane, rotates about the center of the earth. Thus , the right ascension of the ascending node, shifts its position. If the orbit is prograde (see Fig. 2.4), the nodes slide westward, and if retrograde, they slide eastward. As seen from the ascending node, a satellite in prograde orbit moves eastward, and in a retrograde orbit, westward. The nodes therefore move in a direction opposite to the direction of satellite motion, hence the term regression of the nodes. For a polar orbit (i 90 ), the regression is zero. The second effect is rotation of apsides in the orbital plane, described below. Both effects depend on the mean motion n, the semimajor axis a, and the eccentricity e. These factors can be grouped into one factor K given by K nK1 a (1

CHAP. 14]

e2)2

The Terminal Screen (Fig. A.4) is where program input and output takes place. This screen has various buttons, a prompt panel, an input box, and a display screen. The display screen is where all the output from the program is displayed. Commands such as Print and Circle, display their results on the screen. The display screen is 800 600 pixels (width height). If you are using a Windows system where the monitor limits are less than 1024 768 resolution, the Terminal Screen will resize to a smaller size. You can nd the limits of the x, y coordinates by using the ScrLimits command (see Sec. C.7). If you get a runtime error or the program is ended the Terminal Screen will remain on top of the editor. You can close it or move it to the background (see below). There is a shortcut key (Ctrl+T ) while in the editor, to reopen the Terminal Screen, or you can use the menu option or the speed button. The display from the previously run program will not be cleared until the current program is executed again or a new program is run.

(2.11)

Print "i=",7 //display a string and number Input "Enter a number",j //prompt and wait for an input End

A function f is said to have a relative minimum at x = c if f (x) f (c) for x near c. In Fig. 14-1, f achieves a relative minimum at x = d, since point D is lower than nearby points on the graph. The value at a relative minimum need not be the smallest value of the function; for example, in Fig. 14-1, the value f (e) is smaller than f (d). By a relative extremum is meant either a relative maximum or a relative minimum. Points at which a relative extremum exists possess the following characteristic property. Theorem 14.1: If f has a relative extremum at x = c and if f (c) exists, then f (c) = 0. The theorem is intuitively obvious. If f (c) exists, then there is a well-de ned tangent line at the point on the graph of f where x = c. But at a relative maximum or relative minimum, the tangent line is horizontal (see Fig. 14-2), and so its slope f (c) is zero. For a rigorous proof, see Problem 14.28. The converse of Theorem 14.1 does not hold. If f (c) = 0, then f need not have a relative extremum at x = c.