Dear Jim,

Could I prevail upon you to check these astronomical estimations for me?

(Suggestion: you might like to get some students to help you!)

The circumference of the Earth is about 40 000 000�metres or 40 megametres,
so its diameter is about 12.7 megametres and its radius is about 6.4
megametres.

The average distance from the Earth to the Sun is about 150 000 000 000 m or
150 gigametres (150 Gm).

The average distance from the Earth to the Moon is about 380 000 000 m or
380 megametres (380 Mm).

In a year, the Earth intercepts about 1 yottajoule of energy (1 YJ) from the
Sun.

>From the Earth to the nearest star, Proxima Centauri, is about 40 terametres
(40 Tm).

>From the Earth to the nearest visible star, Alpha Centauri, is 41 terametres
(41 Tm)

>From the Earth to the nearest galaxy, M 31 in Andromeda, is about 20
exametres (20 Em)

>From the Earth to the furthest, normal, galaxies is about 40 zettametres
(40�Zm).

>From the Earth to the furthest quasars is about 110 yottametres (110 Ym).

As the distance from Earth to the furthest Quasars is about 110 yottametres,
this means that the diameter of the whole Universe is about twice this value
or 220 yottametres (220 Ym).

Comparing planets

You can use SI prefixes if you want to compare the size of various objects
where the numbers are either very small or very large.

As an example I will use the planets of the Solar System. When I looked up
their mass I obtained the following figures: Mercury 3.3022 X 10^23 kg,
Venus 4.8689 X 10^24 kg, Earth 5.9742 X 10^24 kg, Mars 6.4191 X 10^23 kg,
Jupiter 1.899 X 10^27 kg, Saturn 5.684 X 10^26 kg, Uranus 8.6978 X 10^25 kg,
Neptune 1.028 X 10^26 kg, and Pluto 1.6 X 10^22 kg. To complete the set the
mass of the Sun is 7.3483 X 10^22 kg and the Moon has a mass of 1.9891 X
10^30 kg. 

None of these numbers are easy to compare - in their present form - but if
we use SI prefixes we can make them readily comparable. I�ll start with
Mercury.

Mercury has a mass of 3.3022 X 10^23 kg. We can think of this as:
3.3022 X 10^23 kg    =    3.3022 X 10^20 megagram
3.3022 X 10^23 kg    =    3.3022 X 10^17 gigagram
3.3022 X 10^23 kg    ==    3.3022 X 10^14 teragram
3.3022 X 10^23 kg    ==    3.3022 X 10^11 petagram
3.3022 X 10^23 kg    ==    3.3022 X 10^8 exagram
3.3022 X 10^23 kg    ==    3.3022 X 10^5 zettagram
3.3022 X 10^23 kg    ==    3.3022 X 10^2 yottagram and this can be read as
330.22 Yg since 10^2 = 100.

To further simplify the numbers I�ll round them to the nearest yottagram.

>From this the mass of Mercury is 330 Yg and I can draw a table to show the
comparable mass of all the planets and also the Sun and Moon. In the table I
have also given you comparable figures for the distances from the Sun and
the diameters and surface areas, so that you can see the ease of using SI to
make simple comparisons between complex numbers.

Planet          mass            distance                    diameter    area
Mercury     330 Yg          60 Gm from Sun    4.878 Mm    75 Mm2
Venus         4 869 Yg      108 Gm from Sun    12.104 Mm    178 Mm2
Earth           5 974 Yg       150 Gm from Sun   12.756 Mm    510 Mm2
Mars           642 Yg          230 Gm from Sun    6.794 Mm    145 Mm2
Jupiter        1 899 000 Yg 780 Gm from Sun   142.800 Mm    64 020 Mm2
Saturn        568 400 Yg     1430 Gm from Sun  120.000 Mm    45 280 Mm2
Uranus       86 978 Yg      2870 Gm from Sun   51.800 Mm    8 440 Mm2
Neptune    102 800 Yg     4500 Gm from Sun   49.500 Mm    7 720 Mm2
Pluto          16 Yg             5900 Gm from Sun   2.500 Mm    111 Mm2
Moon         73 Yg             384 Mm from Earth  3.476 Mm    38 Mm2
Sun    1 989 100 000 Yg        -               1 392.530 Mm    6 100 000 Mm2

As a final thought you might like to think about the area that the Solar
System uses for the revolutions of its planets. This is about 10^20 square
kilometres (km2), 10^14 square megametres (Mm2), 10^8 square gigametres
(Gm2), or 100 square terametres (Tm2).

Thanks,

Pat Naughtin
CAMS - Certified Advanced Metrication Specialist
    - United States Metric Association
ASM - Accredited Speaking Member
    - National Speakers Association of Australia
Member, International Federation for Professional Speakers
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