Fundamental Ephemeris Computations
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Fundamental Ephemeris Computations

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Fundamental Ephemeris ComputationsBy Paul J. Heafner. Product Information: 332 Pages, Hardbound, 6 by 9 inches. Iincludes CD. Within the last decade there have been many books dealing with the application of personal computers to general problems in celestial mechanics. So, the reader may ask, Why one more? The most evident reason is the use of approximations. Usually a full verbal explanation of a procedure is given, but when the algorithm is programmed, approximations are often made

By Paul J. Heafner.

Product Information: 332 Pages, Hardbound, 6 by 9 inches. Iincludes CD.

Within the last decade there have been many books dealing with the application of personal computers to general problems in celestial mechanics. So, the reader may ask, Why one more? The most evident reason is the use of approximations. Usually a full verbal explanation of a procedure is given, but when the algorithm is programmed, approximations are often made that, in the final analysis, defeat the power of a computer. Modern microcomputers are wonderful machines, never tiring of performing the same computations over and over again until the user is satisfied with the result. While it is true that efficient coding often reduces the execution time, the point is that there is no need to make any great approximations until the very end of the computation. For instance, it is generally accepted that it is useless to compute times of sunrise and sunset to an accuracy greater than one minute of time because of the uncertain nature of atmospheric refraction near the horizon and the constantly changing local meteorological conditions. However, why not let the computer perform the computation to the full precision of the machine and then let the user round the result to the nearest minute of time?

Another major problem with existing computer-oriented astronomical books is that there has been little or no effort to adopt the computational algorithms used for the preparation of data in the national almanacs, particularly the U.S. Naval Observatorys Astronomical Almanac. So the primary goal of this book is to present a library of useful PowerBASIC and C subprograms and functions that can be combined to make powerful application programs. These routines cover both elementary and advanced topics in computational celestial mechanics and spherical astronomy such as time systems, precession, nutation, coordinate transformations, orbital elements and ephemerides, reduction to apparent place, rise/transit/set times for celestial objects, and use of the JPL ephemerides. Care has been taken to present the results of computations in the same form as the corresponding data in the Astronomical Almanac and at least to the same precision. This book is the only one describing how to obtain, process, and use the official Jet Propulsion Laboratory ephemeris data files. The JPL ephemerides form the basis of practically all of the national astronomical almanacs, including the Astronomical Almanac. Many readers will be surprised to learn that these data files are available free from JPL via the Internet or via a CD-ROM prepared by JPL and published by Willmann-Bell ( $24.95 plus $1.00 shipping). See sidebar for details about the JPL CD-ROM. In this book the author gives explicit instructions on how to retrieve them from JPL and put them into a usable form. In addition, with this book comes a disk that includes enhanced PowerBASIC and C versions of the original JPL FORTRAN processing software that manipulates the data files. Today, these ephemerides are considered to be the final word on planetary ephemerides, and now the serious non-professional who wants to make use of them can do so.

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Pattern Name: Strawberry
The outer part is good quality, the removable inside didn't last a day
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Didn’t hold up for more than a minute but the silicone strawberry by itself is durable.
Pattern Name: Strawberry, Pattern Name: Strawberry
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Good for larger treats, not small ones
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Our dog loves this treat toy. It has been very durable as far as the rubber part goes but the cloth carrot insert not so much, that got torn apart pretty quickly. Also this works for bigger treats, but once the cloth carrot was destroyed, there was no way to keep small treats from just falling out. Now we use it to stick larger chew sticks in the holes and it works to help her keep it in place while chewing.
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Dogs love these treat toys
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I have big dogs who live for treats and love to play puzzle games to find treats. You can stuff these toys with small treats which gives your dog a mental challenge while working to figure out how to get them out. The quality of these toys are great but durability with big dogs will be short lived. The strawberry green top immediately was de-stuffed while dog was looking for more hidden treats. The corn husk seems to be more challenging for them to get the treats out. However my smarter dog was determined and eventually reaped the rewards. I would recommend these toys for dogs who will not rip them apart.... but really is there any pup who doesn't enjoy de-stuffing a stuffie squeek toy?
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I have a 50lb high energy puppy. She is not a fast eater, BUT she loves this activity and it gives me about 30 minutes of uninterrupted bliss. It took about 10 minutes to demonstrate to help her get the hang of it. She will sit, spin the barrel with her paw, then sniff every divider, only open the ones with her food, and then restart the process. It is sturdy and stays on the floor as she paws and pushes. It might move a little, but not far. This is my favorite puzzle toy by far and I love that it is "hard" enough to keep her occupied but not enough that she gets frustrated and doesn't want to do it.
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