Dominico,

Thank you very much for the calculations. It would seem that it is 
possible to work EME on the higher HF bands using WSJT modes under the 
right conditions. But, I can see that it would take an exceptional HF 
station to work CW on a regular basis. Of course there's the ionosphere 
to contend with as well.

Thanks again.

Tony -K2MO


On 6/30/2010 6:11 PM, i8cvs wrote:
> ----- Original Message -----
> From: "Tony"<d...@optonline.net>
> To: "AMSAT-BB"<amsat-bb@amsat.org>; "i8cvs"<domenico.i8...@tin.it>
> Sent: Wednesday, June 30, 2010 10:31 AM
> Subject: Re: [amsat-bb] Re: HF Satellite Relay
>
>    
>> Dominico,
>>
>> The 10M sphere brought another question to mind -- Mike Wantanabe,
>> JH1KRC, managed to hear his own EME echoes on the 21MHz using a KW and a
>> 6 element Yagi. Details and recordings are on his website (see below). I
>> was wondering how the path loss calculations compare with his EME results.
>>
>> http://eme.dokidoki.ne.jp/sound/jh1krc/index.html
>>
>> Thanks Dominico...
>>
>> Tony -K2MO
>>
>>      
> Hi Tony, K2MO
>
> I have heard the EME echoes on the 21 MHz EME test from JH1KRC and they
> are very strong  for a 6 element yagi claiming 18 dBi at 10° elevation and 1
> KW output at the antenna but the moon was only 10.8° above the horizon for
> JH1KRC so that he was advantaged by the gain of the ground at such low moon
> elevation.
>
> By the way on day 14 jan 2006 the moon was at a distance of 400.000 km from
> the earth and at a range of 405.000 km from JH1KRC so that the elapsed time
> from TXing to the echoes must be ( 405.000 x 2 ) / 300.000 = 2.7 seconds and
> this by hears seems to be accordingly.
>
> We know that the range from the Moon and JH1KRC was 405.000 km and we
> know that the  radius of the Moon is 1735 km or 1735 x 10^3 meters
> Also we know that the reflectivity coefficient of the moon at 21 MHz is 7 %
>
> The 21 MHz Round Trip Isotropic Attenuation using the concept of Radar
> Equation is as follows:
>
>            Pt x Gt x Ar x Sigma
> Pr = ------------------------------
>             (4 x 3.14 x R^2)^2
>
> where :
>
> Pr = received power
>
> Pt = transmitted power = 1watt
>
> Gt = gain of a 21 MHz isotropic antenna = 1 in power ratio
>
> Ar = Aperture of the isotropic antenna at 21 MHz in square meters.
>
> R  = Radius of a sphere wich distance from the earth is 405 x 10^6
>          meters i.e the distance from the Moon and the earth expressed
>          in meters.
>
> Sigma = Surface of the Moon in square meters i.e. of the Moon as a
>                 radar target like a disc multiplied by the reflectivity
>                 coefficient of 7 %
>
> Computing:
>
>                   / 2                     2
>                 /\                  14.3
>   Ar  = ----------  =  ----------- = 16.24 square meters
>             4 x 3,14       4 x 3,14
>
>
> Sigma = (1735 x 10^3) ^2 x 3.14 x 0.07 = 6.62 x 10^11  square meters
>
>
>
>            1 x 1 x 16.24 x (6.62 x 10^11)
> Pr = --------------------------------------- = 2.53 x 10^-24 watt
>            [(4 x 3.14 x ( 405 x 10^6)^2]^2
>
>
>                                                                 1
> Round trip attenuation = 10 log ----------------- = 236 dB
>                                                        2.53 x 10^-24
>
>
> Assuming that we are using a good HF receiver with a NF= 8 dB
> equivalent to 1539 kelvin we must consider in addition that the receiver
> sensitivity is limited by the external available noise power.For quiet,rural
> locations as that of JH1KRC the galactic noise is the limiting factor and
> at 21 MHz the noise temperature is around 29.000 kelvin so that reducing
> the  Noise Figure belove 8 dB at 21 MHz do not improve the S/N ratio.
>
> In addition during the 15mEME01 QRO test on CW JH1KRC claims to
> have used a  RX CW filter with a bandwidth of only 10 Hz  as you can
> read in his web page.
>
> http://eme.dokidoki.ne.jp/sound/jh1krc/index.html
>
> With the above data the noise floor of this receiver for CW into a
> bandwidth of 10 Hz can be calculated as follows:
>
> Noise Floor = KTB = 1.38 x 10^-23 ( 1539 + 29.000 ) x 10 = - 173.7 dBW
> or - 142.6 dBm
>
> Link budged calculation:
>
>
> TX power 1000 watt.............................+30 dBW
> TX Antenna gain....................................+18 dBi
>                                                                   -----------
> Transmitted EIRP .................................+48 dBW
> Round trip attenuation 1500 km..........- 236 dB
>                                                                   -----------
> Received power Pr on isotropic
> antenna on the earth ..............................-188 dBW
> RX antenna gain....................................+  18 dB
>                                                                   -----------
> Available power at RX input............... - 170 dBW
> RX noise floor...................................... - 173.7 dBW
>                                                                   -----------
> Signal received with a S/N ratio.......... + 3.7 dB
>
>
> So according with the above calculations the signal of JH1KRC is 3.7 dB
> over the noise and so it is detectable very strong as recorded in the file
> 15m01142006_31qro  in the following web page.
>
> http://eme.dokidoki.ne.jp/sound/jh1krc/index.html
>
> In addition since the test was made with the Moon at a very low elevation
> of 10.8° we must add to 3.7 dB at least 1 or 2 dB or more due to the gain
> of the ground.
>
> Probably if a new test will be made at higher moon elevation the echoes
> of file 15m01142006_31qro would be audible but not so spectacular.
>
> Best 73" de
>
> i8CVS Domenico
>
>
>
>
>
>
>
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>    

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