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Description
Celestial Mechanics: The Waltz of the PlanetsI was delighted to be invited by my colleagues Alessandra Celletti and Ettore Perozzi to provide a foreword to their book, Celestial Mechanics: The Waltz of the Planets. Having known them for many years and long admired their work in the subject so many of us love and are fascinated by, 1 read with great attention and pleasure the text when it arrived. It is a formidable task they have set themselves, to provide a book that describes attempts by
I was delighted to be invited by my colleagues Alessandra Celletti and Ettore Perozzi to provide a foreword to their book, Celestial Mechanics: The Waltz of the Planets. Having known them for many years and long admired their work in the subject so many of us love and are fascinated by, 1 read with great attention and pleasure the text when it arrived. It is a formidable task they have set themselves, to provide a book that describes attempts by successive generations of astronomers from the dawn of history five millennia ago to observe, record and understand the phenomena of the heavens, particularly the intricate and perplexing behaviour of the planets. Sun and Moon. As naked eye astronomy became aided by the telescope and the photographic plate, and since the middle of the twentieth century, by instruments launched on spacecraft into circum- Earth orbit or to the Moon and planets and beyond, the discovery of new satellites, scores of them, and ring systems displaying new and initially perplexing behaviour also demanded explanations for that behaviour. It is also the inspiring story of science itself with special reference to how lonely individuals, impelled by curiosity and dedicated to seeking the truth, and nothing but the truth, about the fascinating phenomena of nature, ultimately became accepted as scientists, those players in the most successful endeavour ever engaged in by the human race.Binding Type: Paperback
Publisher: Springer
Published: 12/01/2006
ISBN: 9780387307770
Pages: 245
Weight: 1.23lbs
Size: 9.54h x 6.68w x 0.63d
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4.5 ★★★★★
Based on 1490 reviews
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Product Reviews
★★★★★ 5
The Toy That Tires Out Your Dog So You Don’t Have To!
Color: Classic Blue, Color: Classic Blue
After trying a different interactive ball previously, I can confidently say this one is built much better. The construction feels more durable, and most importantly, it has held up well against my dog's enthusiastic chewing and chasing. Many interactive toys claim to be tough, but this one has actually survived extended play sessions without being torn apart.
The charging design is simple and well thought out. The ball twists apart easily to reveal the USB-C charging port, making recharging quick and convenient. Once charged, you simply twist the halves back together, press the power button, and it's ready to go. I appreciate that there are no complicated steps or special charging accessories required.
What really stands out is how engaging the toy is. The unpredictable movement keeps my dog interested and encourages plenty of exercise and mental stimulation. Instead of losing interest after a few minutes, my dog continued chasing, pawing, and interacting with the ball until he was genuinely worn out. For pet owners looking for a way to help burn off excess energy, this toy definitely does the job.
One minor issue I noticed is that on a couple of occasions, my dog was able to accidentally turn the toy off while carrying it in his mouth. It wasn't a frequent problem, but it did happen enough to be worth mentioning. Fortunately, turning it back on is quick and easy.
Overall, this has been one of the better interactive dog toys I've tested. It's durable, easy to charge, keeps dogs engaged, and provides the kind of activity that leaves them happily exhausted afterward. If your dog enjoys chasing moving toys and you want something sturdier than many of the alternatives on the market, this is a solid choice.
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Reviewed in the United States on June 3, 2026
★★★★★ 3
Great Entertainment, Short Battery Life
Color: Classic Blue
This is the first interactive ball I've found that my dog hasn't managed to destroy, which is impressive on its own. The ball keeps him entertained for long periods, and he loves chasing, nudging, and following it around the house. The material feels durable and has held up well to regular play. The one button operation is convenient, and the ball is easy to recharge and clean.
My biggest complaint is the battery life. On a full charge, it only seems to run for about 10 minutes before needing to be recharged again. Because of that, I find myself charging it frequently. Even with the shorter runtime, it's been one of the more engaging and durable interactive toys we've tried. Overall, a fun and sturdy toy that keeps dogs occupied, but be prepared for frequent charging.
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Reviewed in the United States on June 5, 2026
★★★★★ 5
Fun Dog Toy
Color: Classic Blue
This toy has been a lot of fun for our dogs. One of my dogs absolutely loves balls and is perfectly content to just carry this around in his mouth. The outer shell feels like a firm foam material. It is durable while still being lightweight enough for the dogs to enjoy.
The ball screws together, but it is designed well enough that you are not constantly worried about it coming apart. You have to intentionally press and twist it to open it, so normal dog play has not caused any issues. Inside is the motorized component, which is easy to turn on and recharge. It offers a few different vibration modes, which keeps things interesting.
The reactions from our dogs have been hilarious. One dog is convinced the ball might be plotting against him and keeps a suspicious distance. Another dog loves it so much that he holds it in his mouth while it vibrates, making his entire head shake. Our third dog plays with it exactly as intended, chasing it around and interacting with it normally.
The motor has enough power to make the ball bounce, roll, and move unpredictably across the floor, which keeps the dogs engaged. It has been a great addition to our toy collection and provides a different kind of enrichment than a standard ball. Overall, the dogs really enjoy it.
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Reviewed in the United States on May 29, 2026
★★★★★ 4
A fun toy
Color: Classic Blue
Our Malamute loves this ball. He likes to carry it around with him and let it will out of his grasp and pick it back up.
The outer ball it tough and durable, and so far it has held up well during play.
It does bounces more than rolls I expected a little more movement across the floor in a more rolling fashion... like those weasel balls from the 90s, but tends to hop and bounce in place. It does works best on hard floor where it has enough contact to move around and keep the dog engaged.
To charge you have to unscrew the ball in half to access the motor unit, and there is grease on the motor, so be careful when opening it and handling the internal piece. It is not difficult, but it is a little more complicated than a simple plug-in charging port.
The button on is also super hard to press. I you have to really squeeze it and even use a tool to turn it on. It has 2 modes though it is so hard to press I am not sure which mode I actually turn on.
It so far has been a fun toy for our young dog and has lasted our extreme chewer (only supervised play)
I would recommend if it went on sale.
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Reviewed in the United States on June 1, 2026
★★★★★ 5
Works well on hardwood, and my dog is just a coward
Color: Classic Blue
This ball works really well on hardwood floors, rolling and moving around just like it's supposed to, though it struggles on carpet where the resistance seems to bog it down. I expected my dog to be thrilled by it, but instead he was afraid of the thing. In fairness, he's a big scaredy-cat by nature, so that says more about him than the toy. The ball itself feels very tough and well made. If he would actually work up the courage to chew on it, I suspect it would hold up extremely well, and I don't think he'd be able to pop it open on his own either. So it's a solid, durable toy that's earned my confidence, even if it hasn't yet earned my dog's.
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Reviewed in the United States on June 4, 2026