Planet Mass Calculator and eTCL Slot Calculator Demo Example, numerical analysis

Planet Mass Calculator and eTCL Slot Calculator Demo Example

This page is under development. Comments are welcome, but please load any comments in the comments section at the bottom of the page. Please include your wiki MONIKER and date in your comment with the same courtesy that I will give you. Aside from your courtesy, your wiki MONIKER and date as a signature and minimal good faith of any internet post are the rules of this TCL-WIKI. Its very hard to reply reasonably without some background of the correspondent on his WIKI bio page. Thanks, gold 12Dec2018



Introduction

gold Here is some eTCL starter code for the calculating the mass of the earth or other planet from the moon orbit and lunar velocity. The impetus for these calculations was checking new discoveries in astronomy. Most of the testcases involve experiments or models, using assumptions and rules of thumb.


Pseudocode Section

    pseudocode can be developed from rules of thumb.
    pseudocode: enter radius of moon orbit, moon velocity, gravity constant 
    pseudocode: output mass of earth in kilograms, metric tons
    pseudocode: need diameter of moon orbit also
    pseudocode: rules of thumb can be 3 to 15 percent off, partly since g..in g..out.
    pseudocode: need test cases > small,medium, giant
    pseudocode: need testcases within range of expected operation.
    pseudocode: are there any cases too small or large to be solved? 

Testcases Section

In planning any software, it is advisable to gather a number of testcases to check the results of the program. The math for the testcases can be checked by pasting statements in the TCL console. Aside from the TCL calculator display, when one presses the report button on the calculator, one will have console show access to the capacity functions (subroutines).


Testcase 1

mass of earth table printed in tcl wiki format
quantity value comment, if any
testcase number 1
radius of lunar orbit, meters: 3.75E8
velocity of moon in orbit, meters: 1000.
gravitational constant m**3/kg-sec*sec : 6.67384E-11
answers: lunar orbit diameter meters : 7.5E8
planet mass kilograms: 5.618e+24
planet mass kilograms: 5.618e+24
planet mass metric tons: 5.6183e+21

Testcase 2

mass of Saturn from orbit of Titan table printed in tcl wiki format
quantity value comment, if any
testcase number 2
radius of Titan orbit, meters: 1.221E9
velocity of Titan in orbit, meters: 5569.7
gravitational constant m**3/kg-sec*sec : 6.67384E-11
answers: Titan orbit diameter meters : 2442000000.0
planet Saturn mass kilograms: 5.675e+26
planet Saturn kilograms: 5.6756e+26
planet Saturn metric tons: 5.675e+23

Testcase 3


mass of Jupiter from orbit of Ganymede printed in tcl wiki format
quantity value comment, if any
testcase number 3
radius of Ganymede orbit, meters: 1.070E9
velocity of Ganymede in orbit, meters: 10879
gravitational constant m**3/kg-sec*sec : 6.67364E-11
answers: Ganymede orbit diameter meters : 2140000000.0
planet Jupiter mass kilograms: 1.897e+27
planet Jupiter mass kilograms: 1.897e+27
planet Jupiter mass metric tons: 1.897e+24

Screenshots Section

figure 1.


References:

  • Earth Fact sheet from NASA [1 ]
  • Moon fact sheet from NASA[2 ]

Appendix Code

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Planet Mass Calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL Club , 2may2014
        # comment follows from gold, 12Dec2018
        # pretty print from autoindent and ased editor
        # Planet Mass Calculator V2
        # written on Windows XP on TCL
        # working under TCL version 8.6
        # Revamping older program from 2014.
        package require Tk
        namespace path {::tcl::mathop ::tcl::mathfunc}
        frame .frame -relief flat -bg aquamarine4
        pack .frame -side top -fill y -anchor center
        set names {{} { radius of lunar orbit  meters:} }
        lappend names { velocity of moon in orbit  meters per second:}
        lappend names { gravitational constant  m**3/kg-sec*sec: }
        lappend names { answers: lunar orbit diameter meters  :}
        lappend names { earth mass kilograms :}
        lappend names { earth mass kilograms :}
        lappend names { earth mass metric tons:}
        lappend names { earth mass metric tons:}
        foreach i {1 2 3 4 5 6 7 8} {
            label .frame.label$i -text [lindex $names $i] -anchor e
            entry .frame.entry$i -width 35 -textvariable side$i
            grid .frame.label$i .frame.entry$i -sticky ew -pady 2 -padx 1 }
        proc pi {} {expr acos(-1)}
        proc about {} {
            set msg "Calculator for Mass of Planet V2
            from TCL ,
            # gold on  TCL Club, 12Dec2018 "
            tk_messageBox -title "About" -message $msg }
        proc self_help {} {
            set msg " Planet Mass Calculator V2
            from TCL Club ,
            # self help listing
            # problem, Planet Mass Calculator V2
            # 3 givens follow.
            1) radius of lunar orbit  meters:
            2) velocity of moon in orbit  meters per second:
            3) gravitational constant  m**3/kg-sec*sec:
            # Recommended procedure is push testcase
            # and fill frame,
            # change first three entries etc, push solve,
            # and then push report.
            # Report allows copy and paste
            # from console to conventional texteditor.
            # For testcases, testcase number is internal
            # to the calculator and will not be printed
            # until the report button is pushed
            # for the current result numbers.
            # >>> copyright notice <<<
            # This posting, screenshots, and TCL source code is
            # copyrighted under the TCL/TK license terms.
            # Editorial rights and disclaimers
            # retained under the TCL/TK license terms
            # and will be defended as necessary in court.
            Conventional text editor formulas
            or  formulas grabbed from internet
            screens can be pasted into green console.
            # gold on  TCL Club, 12Dec2018 "
            tk_messageBox -title "Self_Help" -message $msg }
        proc calculate { } {
            global answer2
            global side1 side2 side3 side4 side5
            global side6 side7 side8 testcase_number
            incr testcase_number
            set lradius $side1
            set lvelocity $side2
            set grav_const $side3
            set diameter1 [* $lradius  2. ]
            set side4 $diameter1
            set mass [/ [* $lradius $lvelocity $lvelocity ] $grav_const ]
            set side5 $mass
            set side6 $mass
            set side7 [* $mass .001 ]
            set side8 [* $mass .001 ]
            return $side5
        }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$aa"
            .frame.entry2 insert 0 "$bb"
            .frame.entry3 insert 0 "$cc"
            .frame.entry4 insert 0 "$dd"
            .frame.entry5 insert 0 "$ee"
            .frame.entry6 insert 0 "$ff"
            .frame.entry7 insert 0 "$gg"
            .frame.entry8 insert 0 "$hh" }
        proc clearx {} {
            foreach i {1 2 3 4 5 6 7 8} {
                .frame.entry$i delete 0 end } }
        proc reportx {} {
            global side1 side2 side3 side4 side5
            global side6 side7 side8 testcase_number
            console eval {.console config -bg palegreen}
            console eval {.console config -font {fixed 20 bold}}
            console eval {wm geometry . 40x20}
            console eval {wm title . " Planet Mass Calculator V2 Report, screen grab and paste from console 2 to texteditor"}
            console eval {. configure -background orange -highlightcolor brown -relief raised -border 30}
            console show;
            puts "%| table |printed in| tcl wiki format|% "
            puts "&| quantity| value| comment, if any|& "
            puts "&| testcase number| $testcase_number||& "
            puts "&| radius of lunar orbit, meters:| $side1 ||&"
            puts "&| velocity of moon in orbit, meters:| $side2||& "
            puts "&| gravitational constant m**3/kg-sec*sec :| $side3||& "
            puts "&| answers:  lunar orbit diameter meters :| $side4 ||&"
            puts "&| planet mass kilograms:| $side5||& "
            puts "&| planet mass kilograms:| $side6 ||&"
            puts "&| planet mass metric tons:| $side7 ||&"
            puts "&| planet mass metric tons:| $side8 ||&"
        }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 3.75E8 1000. 6.67384E-11  7.5E8  5.6E24 5.6E24  5.6E21 5.6E21 }
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 3.75E8 1000. 6.67384E-11  7.5E8  5.6E24 5.6E24  5.6E21 5.6E21 }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 3.75E8 1000. 6.67364E-11  7.5E8  5.6E24 5.6E24  5.6E21 5.6E21  }
        ::ttk::button .clearallx -text clear -command {clearx }
        ::ttk::button .about -text about -command about
        ::ttk::button .self_help -text self_help -command { self_help }
        ::ttk::button .cons -text report -command { reportx }
        ::ttk::button .exit -text exit -command {exit}
        pack .calculator  -in .buttons -side top -padx 10 -pady 5
        pack  .clearallx .cons .self_help  .about .exit .test4 .test3 .test2   -side bottom -in .buttons
        grid .frame .buttons -sticky ns -pady {0 10}
        . configure -background aquamarine4 -highlightcolor brown -relief raised -border 30
        wm title . "Planet Mass Calculator V2"      



  

Pushbutton Operation


For the push buttons, the recommended procedure is push testcase and fill frame, change first three entries etc, push solve, and then push report. Report allows copy and paste from console.

For testcases in a computer session, the eTCL calculator increments a new testcase number internally, eg. TC(1), TC(2) , TC(3) , TC(N). The testcase number is internal to the calculator and will not be printed until the report button is pushed for the current result numbers (which numbers will be cleared on the next solve button.) The command { calculate; reportx } or { calculate ; reportx; clearx } can be added or changed to report automatically. Another wrinkle would be to print out the current text, delimiters, and numbers in a TCL wiki style table as

  puts " %| testcase $testcase_number | value| units |comment |%"
  puts " &| volume| $volume| cubic meters |based on length $side1 and width $side2   |&"  


Hidden Comments Section

Please place any comments here with your wiki MONIKER and date, Thanks,gold12Dec2018