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- Dance Sample Simulations
- objects.rsm
- >>Introduction
- Introduction to the Dance v2.3 Sampler
-
- Welcome to the `Dance of the Planets' sampler. This special demonstration
- version of the program shows a wide selection of simulations illustrating much
- of the detail and scope of Dance. In the samples you will see:
-
- * A number of transient sky events- eclipses, solar transits, and occultations.
- * Starry skies with constellations, grids, and Messier deep sky objects (DSOs).
- The full program has some 9100 stars (to 6.5 mag) and over 1300 DSO's.
- * 20 selected asteroids and comets. The complete program has over 6000 -
- virtually all numbered asteroids and recorded comet `apparitions' thru 1990.
- * All planets seen from afar, and closeups of Earth and Moon, and the Saturn
- system. Of course in the full program all the planets can be viewed up close.
-
- The sampler won't accept date input, except for the initializing dates used
- in the examples. It can be set from 4680 BC to AD 9999 in the full program.
- Even with these limitations, there is much to see and do- while pleasurably
- learning Dance operation. On your first time through, follow the comments and
- instructions on each screen, and press [Page Down] when ready for the next.
-
- [PgDn] now to proceed. At any time you can also press [Home] to see the
- sampler contents, and from there, jump directly to a particular simulation.
-
- - Thomas Ligon March, 1991
-
- >>A Starship Perspective
- SV>X>0>->100>0.5>-10>270>00000000000000000000>
- A familiar sky but for the bright central star- the Sun, 3 light-days distant.
- Press [s] to see orbits- use [s]+[shift] to fine adjust VGA `skylines'. Adjust
- monitor brt/contrast for dark space with many stars (some 200 are on screen).
- On Control Bar below, note date and ecliptic coordinates of this `Space View'.
-
- >>Basic Viewing Operations
- Space and Earth Viewing Modes.. Basic Viewing Operations
-
- Space View (previous screen) is from outside the solar system. At 1X (next
- screen), the apparent size of constellations and S.S. are much as they would
- appear out a starship window 270 au from Sun.
- Earth View (or Earth's Sky) provides views from a specified Earth `site' from
- which to watch motions/alignments of orbiting bodies against the starry sky.
-
- * Simulation Pace, Zoom magnification, and View direction (latitude,longitude)
- are selected with hot key and changed with cursor keys. Active selections are
- highlighted, simulation is paused. Pressing any other key resumes simulation.
- * The screen may be updated for each Zoom and View direction step, or only for
- the final viewing setup by toggling Loc on/off with [ScrollLock].
- * View direction may be changed in 1° or 5° steps by toggling Ins on/off, or by
- using cursor keys with [shift] for 1°. (See next screen for Ins and Loc use.)
- * SET PACE TO SUIT. Some of the following simulations will be too fast for some
- PCs, too slow for others. Very fast pace settings may reduce accuracy because
- fewer gravitational calculations are performed `per orbit' (steps too large).
- * Objects on the screen can be labeled by using [L]abel from the control bar.
- * MOUSE OPERATION- point and click selection, roll to change values, and click.
- Use right button as Esc (escape) from menus, return to previous, etc.
- * EGA OPERATION- new views are composed on `back screen'; wait for quick change.
-
- HELP ON MENU PROVIDES OPERATION GUIDE. Recommended. [PageDown]
-
- >>Ins and Loc View effect
- SV>X>1>->100>0.5>65>90>00000000000000000000>
- (Looking towards Polaris) Ins & Loc affect view changes. For 1° view changes,
- put Ins on (lit), or use shift+cursor keys. Toggle [Insert] key or point/click
- Ins bar. Put Loc on (lit) for screen redraw for each zoom/view step. Toggle Loc
- with [ScrollLock] or point/click Loc bar. /INS bar /LOC bar
-
- >>The Solar System at 1X
- SV>X>1>->100>1>-17>270>00000000000000000000>
- Zooming in on the Solar System. (Use keys or mouse point/click/roll for this)
- With Loc off, press [z] to select Zoom, change to 4X using the cursor key, and
- [Enter]. Label to identify planets. Increase Pace to see orbital motion-[Enter]
- pace to resume simulation. Note clock/calendar. Try Zoom changes with Loc on.
-
- >>Tracking Earth
- SV>earth>1>03/26/1991>100>32>-3>144>00000000000000000000>
- Tracking Earth- locked at the center (Label). At this view angle the different
- orbital inclinations of the inner planets are quite evident. Planet motion is
- suspended (note Lock-idle below) when tracking at low zoom. With Loc off, zoom
- to 32kX (32000X) and press Enter to resume orbital simulation. Label Moon.
-
- >>The Home Planet
- EV>earth>0>03/26/1991/12>20>0.5>-3>144>0000000000000000000>
- The Home Planet. Same view direction as previous screen, but now from special
- Apollo viewpoint 250,000 km from Earth (inside Moon's orbit). Zoom to 2X (max).
- Select Planet Grid from menu, shift-[s] to adjust VGA. Press any key to erase
- grid. `More Options' on menu provides 2nd menu with cloud on/off toggle.
-
- >>From the Earth's Sky
- EV>X>1>01/01/1990>1000>0.5>-26>18h00>00000000000000000000>
- In Earth's Sky. View towards Sagittarius from Earth. Here is a grand planet
- rendezvous in the morning sky, early Feb 1990. Identify with Label. Note View
- declination, right ascension of center cross. Change Pace to suit & watch into
- February. Sun's rays correspond to 1 hr from sunset/sunrise.
-
- >>Constellations and Grids
- EV>X>1>11/20/1991>1000>0.5>11>04h20>00000000000000000000>
- Constellations & Grids. Press [f] for Find, type in Leo. Select ConstelDraw on
- menu for lines. Adjust VGA with shift-[s]. To see right ascension and declina-
- tion grid, select Celest Grid on menu. These skylines will remain in the sky
- until toggled off on menu.
-
- >>Ancient Guidestar
- EV>X>0>03/21/-2850>10>0.5>75>00h00>00000000000000000000>
- A familiar north sky, but note the date. Press [s] for skylines, Constels and
- Grid on- dim for subtle effect. The Earth's axial direction precesses about the
- ecliptic north, and at this time alpha Draco was the polar star. At 1X, you can
- [L]abel this modest star. TURN OFF menu Constel and Grids for following page.
-
- >>The Midnight Sun
- EV>X>0>06/21/1991>0>min>0>06h00>00000000000000000000>
- Midnight, summer solstice. To see sun from the north pole, select More Options
- from the menu, and then site Coordinates. Enter 90,0 for 90N; longitude doesn't
- matter! Now select Find and enter `north hor' to see the horizon position at
- midnight. Increase pace and check the east horizon at 6 am. Change site Coords.
-
- >>Christmas Stars
- EV>X>0>06/17/-1>50>0.5>23.5>07h08>00000000000000000000>
- LABEL. A number of celestial events around year 0 are Christmas star candidates.
- Here is a rather splendid conjunction of Jupiter and Venus in the western sky,
- June of 2 bc (Year -1 = 2 bc). Set site Coords to 31.5, 35.1 for Jerusalem and
- reenter date. Zoom down to min and Find `west hor' at about 20 hours (8 pm).
-
- >>DSOs and Messier Objects
- EV>X>1>11/20/1991>1000>0.5>12>4h40>00000000000000000000>
- The Messier catalogue of deep sky objects (DSOs) are mostly star clusters and
- galaxies. Select DeepSky Objs from menu, press [M] or [Enter] to select. Press
- Esc to exit menus. Select [F]ind and type in M31 for the Great Andromeda galaxy.
- These DSOs are dim- adjust monitor? Label, zoom. DSOs stay on until toggled off.
-
- >>Fixed Moon with Occultation
- EV>moon>0>08/13/1990/18>50>2>40>-105>00000000000000000000>
- If `fix moon' is typed into Find when viewing the sky, the moon will be found &
- fixed at the center (already done here). Zoom to 8X and watch an occultation of
- the Pleiades. When fixed on Moon, Sun or planet, use Esc to release tracking.
- Site Coords on 2nd menu shows Colorado site. (Re-enter date if site changed.)
-
- >>Lunar Eclipse
- EV>moon>0>02/10/1990>50>8>-30>150>00000000000000000000>
- The Moon passing through the Earth's shadow- viewed from Australia. The partial
- shadow of the Earth, the penumbra, appears first at about 2:30 local time. In
- this lunar eclipse simulation, a rusty `sunset' color leads into the deep shade
- of the umbra. Due to atmospheric refraction, the Moon is never entirely dark.
-
- >>The 1991 Solar Eclipse
- EV>sun>0>07/11/1991/10>50>8>23.6>-110.8>00000000000000000000>
- The Big One. 1991 solar eclipse as seen from La Paz, Baja California. Change
- Pace to suit. Just before totality (around 11:45), slow to 1 or even `true'.
- Note corona. Use Site Coords on `More Options' menu to check/change location.
- If you change sites, select Date and re-enter 07/11/1991.
-
- >>Venus Solar Transit
- EV>sun>0>06/08/2004/06>50>16>30>31.2>00000000000000000000>
- A Venus Solar transit viewed from Cairo. These are rare events- none occurred
- in the 20th century; two will in the 21st. The next one is simulated here, and
- begins at about 7:25 local time. Use Label to locate Venus before and after the
- transit.
-
- >>Virtues of Just Watching
- EV>sun>1>03/15/1991>10k>0.5>40>-105>111111000>00000000000000000000>
- Favorable apparitions (appearances) can be found in a number of ways with
- Dance. Label to identify Mercury. The problem for it is finding near max solar
- elongations. Here we fix on the Sun and watch. Note morning and evening
- apparitions in May and July. Also the conjunctions with Jupiter, then Venus.
-
- >>Viewing Planets Up Close
- Viewing Planets Up Close
-
- Zoom and view the solar system from any angle, but the Sun will remain
- central in `Space View' unless the Dance telescope is tracking a planet. To
- view a planet up close, lock on by
-
- 1) using the Planets menu (on main menu) or
- 2) select the menu Target&Lock, place box over planet and press [Enter].
-
- The name of the tracked planet appears in the control bar. From the distant
- space viewpoint you can zoom to 32kX magnification. Since from 270 a.u. all the
- planets are approximately the same distance away, they will appear scaled to
- one another. From Earth you can zoom to 512X. The apparent size of the planets
- will be as they appear from Earth at that time.
-
- In the next screen Saturn is already locked in- shown with it are all the
- asteroids & comets included with the sampler. (In such a Space View the planet
- or Sun can be moved anywhere on screen using Move Center- 2nd menu.) So many
- orbits take some time to calculate and draw, so there may be some pause.
-
- >>Tracking on to Saturn
- SV>Saturn>1>11/16/1989>200>16>-6>300>111111111>11111111111111110000>
- Saturn locked on for close viewing- simulation idle at low zoom. Orbits of all
- sampler asteroids/comets, as well as Phoebe, Saturn's outer-most satellite, are
- visible. Move Saturn toward upper right using Move Center (2nd menu). With blue
- cursor at desired spot, press Enter to move center. Adjust VGA Skylns. Label.
-
- >>Saturn's Satellites
- SV>Saturn>1>07/01/1990>200>1k>0>293>
- Saturn's major satellites. At 1000X Phoebe's orbit is partly off screen. You
- can [I]nvert for north to be down (note north-pointing arrowhead). Label to
- identify the satellites. Zoom up and press any other key to resume simulation.
-
- >>Saturn Up Close
- SV>Saturn>0>11/16/1989/12>200>32k>0>343>S111111111111111111
- Saturn at full power- Titan coming up from below. Toggle orbit skylines on/off.
- Label satellites. Decrease View longitude to better see the rings- they darken
- as they are viewed more from the back (VGA). At this time the rings are highly
- tilted to the Sun, so Saturn casts a short shadow on the ring-satellite plane.
-
- >>Saturn-star Occultation
- EV>sat>0>07/03/1989>50>-512>59.3>18.3>00000000000000000000>
- An Earth View of Saturn simulating the occultation of 28 Sgr, a 5.4 magnitude
- star, as seen from Stockholm. This is the brightest star occulted by Saturn
- known. From some locations in Europe, 28 Sgr slipped behind Titan as well!
- (Star labels are skyline color, so put Skylns on and then Label the star.)
-
- >>Comets Revealed
- SV>X>1>06/15/1989>100>0.5>-13>90>00000000000101110000>
- A small comet sampling as seen from afar. Note the two parabolic orbits. Such
- comets, seen only once, may approach from any direction. Orbits of periodic
- comets Halley and Encke are also present. Label at 4X to identify. Zoom to 16X,
- turn off Skylines, set a high pace and watch the tails of the parabolic comets.
-
- >>Halley Perihelion
- SV>X>1>10/15/1985>1k>32>-10>330>111110000>00000000000100000000>
- Comet Halley approaching perihelion. Adjust Pace and Skylines to better see the
- developing tail. Halley moves north of the ecliptic only briefly, passing back
- south between the orbits of Venus and Earth. Never close to any planet, its
- orbit is relatively stable. View toward 90°S (from overhead) and re-enter date.
-
- >>Halley Apparition 123456789012
- EV>X>0>12/25/1985>10k>0.5>-23>21h00>111110000>00000000000100000000>
- Halley Revisited - An Earth view. The 1986 apparition wasn't great; you can see
- why. Adjust Pace and watch while the comet passes through perihelion, Feb. 8,
- 1986 (your PC will bleep). Note the apparent speed increase as the comet angles
- down for its southerly ecliptic plunge. Skylns off to better see tail.
-
- >>Halley Loops
- EV>X>1>06/01/1991>40k>0.5>3>09h20>111110000>00000000000100000000>
- A Lingering Look at Comet Halley (Label). Below Leo you can to this day still
- find Halley cycling its way to the far reaches of its orbit. Such epicycles are
- due to the parallax caused by the Earth's orbital motion. Run the simulation
- for several years. Run it backwards with a negative Pace, re-entering the date.
-
- >>Orbital Simulation
- The Simulation Nature of Dance
-
- Dance is an orbital simulator. This means that the program is constantly
- calculating the gravitational effects of the various bodies on one another and
- moving them accordingly. In the program `real' distances, masses and velocities
- are operating according to Newtonian gravitation in three dimensional space,
- and the results are scaled and transformed to the screen. Dance is a detailed
- working model of the solar system that can not only show views and events that
- are calculable, but also simulate perturbations and other complex multiple-
- bodied orbital interactions that are generally not. Being able to predict orbit
- changing encounters of the past and future is an exciting and unique aspect of
- Dance. With the full database of asteroids and comets you can discover events
- and causes that few if anyone else knows about.
-
- The next simulation shows an interesting future event with comet Kojima.
- Discovered in 1970, Kojima has a period of nearly 8 years, and has been very
- regular for three apparitions. During the encounter, simulation will slow as
- Dance performs more calculations to maintain accuracy. The strongest change to
- the comet's orbit will be an increase of inclination to the ecliptic plane.
-
- >>Comet Futures
- SV>X>1>09/01/1995>40k>8>-35>90>111111000>00000000000010000000>
- A Strong Perturbation. Kojima's orbit, like most periodic comets, is chaotic.
- Simulation reveals a strong orbit-changing Jupiter encounter during 1996-1997.
- Result: an earlier, brighter apparition. Encounter distance (in planet radii)
- will appear upper left. Jupiter's outermost satellites are out about 320 radii.
-
- >>Bright Asteroids
- SV>X>1>09/20/1990>5k>8>-90>90>111110000>11111000000000000000>
- `Bright' Asteroids (dim VGA Skylines to see). Ceres is the largest; over 900 km
- diameter. Only Vesta is ever brighter than mag 6. Vernal equinox direction (0°
- Longitude) is shown when viewing toward 90° N/S. View toward 10°S and note the
- orbit of Pallas. Object Status (Access menu) gives observation data for date.
-
- >>Some Asteroid Extremes
- SP>X>1>01/09/1991>20k>8>-13>120>111111100>00000000110000000000>
- At the time of their discovery, asteroids Hidalgo and Icarus traveled farthest
- and closest to the Sun. Label to identify. Zoom to 32X, pace 40k-80k, to see
- Icarus zipping through perihelion. Turn View toward 90°S. Move the Sun upward
- get all of Icarus's orbit on screen using Move Center (More Options menu).
-
- >>Asteroids in the Sky
- EV>X>1>03/01/1989>20k>0.5>-33>18h00>111111110>00111000000000000000>
- Asteroids In A Starry Sky- looking towards Sagittarius from Earth in 1989. The
- motion and paths of several bodies are seen. Watch the epicycles through 1989.
- Planet coordinates are on the [A]ccess screen; asteroid position/magnitude
- on the Object Status screen. In June-July Vesta was at maximum brightness.
-
- >>Asteroid 1989FC
- SV>X>1>02/01/1989>2000>64>-20>45>111110000>00000000001000000000>
- Our brush with asteroid 1989FC was closest known at the time, 400,000 miles in
- March of 1989. Though small, 1989FC would have caused havoc had it struck. Dim
- and fast moving, Earth-crossers are hard to find. You can check out dozens in
- Dance. Slow pace in mid-March and note date and minimum distance (Earth radii).
-
- >>Orbital Resonances
- Orbital Resonances
-
- Asteroids with periods that are a simple ratio to Jupiter's are regularly
- perturbed by it. Such resonances have depopulated the Kirkwood gaps, that is,
- asteroids with periods near these resonant values are not found. But resonances
- with ratios near one can provide an island of orbital stability. These `island'
- resonances provide one classification for Asteroids. Trojan asteroids, with a
- ratio of 1:1, essentially share Jupiter's orbit. In this `Lagrangian resonance'
- the asteroid is nominally 60° ahead or behind, never getting too close. There
- are over 100 Trojans known. Hildas are another large group with 3:2 resonances.
-
- Resonances are also found among the satellites of the Jovian planets. The
- Galilean satellites have period ratios very nearly 1:2:3:4 (check the Access
- Satellites screen for Jupiter when planet tracking). Like the hands of a clock,
- they have regular `meeting places'. The Saturnian system is full of resonances,
- including co-orbital satellites with Lagrangian resonances.
-
- When you have the Saturn system on the screen in some of the following simu-
- lations, press [A]ccess and select Satellites from the menu. Note the periods
- for co-orbital satellites and other resonances. Esc to return to the simulator.
-
- >>Tuned Asteroids
- SV>X>1>08/01/1988>40k>8>-90>270>000010000>00000111000000000000>
- Asteroid Resonances- Living with Jupiter. (Dim VGA Skylns. Inner planets are
- off for speed.) Some stable resonances: Hilda, the first 3:2 resonance found;
- Achilles, the first 1:1 Trojan asteroid. Thule, the only known 4:3, is quite
- perturbed every 3 Jovian (36 Earth) years. Watch through 2018. Pace to suit.
-
- >>Tuned Satellites
- SV>Saturn>1>07/01/1990>5k>4k>-70>35>S000000000000001100>
- Satellite Resonances (Dim VGA Skylns or toggle orbits on/off to see Hyperion.)
- With a 3:4 resonance, Hyperion avoids strong perturbation from Titan by being
- near maximum separation whenever they pass. The influence still causes pre-
- cession of Hyperion's orbit. Inner satellites are off for speed.
-
- >>Doing Orbital Experiments
- Doing Orbital Experiments
-
- Orbital elements of real or hypothetical objects orbiting the Sun can be
- placed in a text file and loaded into Dance. On the next screen you will see
- four hypothetical objects with the same period but with very different eccen-
- tricities. Such examples can vividly illustrate basic principles of orbital
- mechanics. An introduction to the basic theory, along with simulation examples,
- can be found in the Dance manual.
-
- Examples of other enlightening experiments: 1) using hypothetical objects to
- see whether regularly spaced, nearly circular orbits between the Jovian planets
- are stable. 2) How, with a `primordial' distribution of asteroids (near-circu-
- lar and regularly spaced), the Kirkwood gaps arise. Such experiments involve a
- lot of objects and time. A reasonably fast PC with coprocessor is recommended.
- Very long simulations can be saved in Resume files and run over several nights.
-
- >>Hypothetical Asteroids
- SV>X>1>->20k>8>-90>90>000000000>00000000000000001111>
- Four hypothetical objects with the same period. Note the semimajor axes are the
- same- from basic orbital theory, the period is determined solely by the semi-
- major axis and mass. The four start together (note perihelion `blip' sounds).
- Set pace to 240k and note any accumulative simulation error by spread in blips.
-
- >>Ordering and Updates Info
- Ordering and Updates May 10, 1991
-
- DANCE OF THE PLANETS, version 2.3, is available for $195 plus shipping. Future
- versions may be subject to price increases. Please order from:
-
- A.R.C. Software
- P.O. Box 1955E
- Loveland, CO 80539
-
- For information or ordering call 1-303/667-1168, or fax 667-1105. MC/VISA
- accepted as well as authorized purchase orders. Postage paid on domestic orders
- paying by check or money order. Foreign orders must be prepaid (charge cards
- accepted) and include shipping and handling- $15 for Canada and Mexico, $25 for
- Europe plus other western hemisphere, and $35 for eastern hemisphere.
-
- >>The Southern End
- EV>X>1>->100>0.5>-70>12h40>111111111>00000000000000000000>
- The end of the sampler and a nice view of the southern sky. Select celest Grid
- from the menu and adjust for subtle skylines. Then press [Home] for contents,
- from which you can go to any sampler simulation. From the contents you can also
- exit the sampler script and go on your own. Check out 3-D orbits from space.
-
-