Cosmic radio emission was
discovered by accident in the 1930s by a physicist working as a radio
engineer. Why didn't "real" astronomers discover radio
astronomy? In part
because they knew too much. Stars are approximately blackbody
radiators at visible wavelengths. The spectral
brightness at frequency $\nu$ of an ideal
blackbody radiator is given by Planck's Law
$$B_\nu(T) \equiv I_\nu(T) = {2 h
\nu^3 \over c^2} \biggl({ 1 \over
e^{h\nu \over kT} - 1} \biggr) , $$
where
$h \approx 6.63 \times 10^{-27}$
erg s $ = 6.63 \times 10^{-34}$
Joule s $ =$ Planck's constant,
$\nu=$ frequency (Hz = s$^{-1}$),
$k \approx 1.38 \times 10^{-16}$
erg
K$^{-1} = 1.38 \times 10^{-23}$ Joule K$^{-1} =$ Boltzmann's constant,
$c \approx 3.00 \times 10^{10}$ cm
s$^{-1}
= 3.00 \times 10^8$ m s$^{-1} =$ the speed of light, and
$T$ is the absolute temperature (K)
of the black body.
In the low-frequency radio limit,
the dimensionless quantity $h
\nu / (kT) \ll 1$ for most
astronomical sources. For example, the photosphere of the Sun has
temperature $T \approx 5800$ K at visible wavelengths. At $\nu =
1$ GHz, near the high-frequency limit of
1930s
radio technology,
$${h \nu \over k T} \approx {6.63 \times 10^{-27}{\rm ~erg~s}
\times 10^9 {\rm ~Hz} \over 1.38 \times 10^{-16} {\rm ~erg~K}^{-1}
\times 5800 {\rm ~K}} \approx 8 \times 10^{-6}$$
Replacing the exponential in Planck's equation by its Taylor-series
approximation
$$\exp\biggl({h \nu \over k T}\biggr) - 1 \approx 1 + { h \nu \over
k T} + ... -1 \approx {h \nu \over k T}$$
yields the simple Rayleigh-Jeans
approximation
$$B_\nu (T) \approx {2 h \nu^3 \over c^2} {k T \over h \nu} = {2 k T
\nu^2 \over c^2} = {2 k T \over \lambda^2}$$
to the blackbody
spectrum at low frequencies or long wavelengths. The radio flux from a
star, which subtends
a very small solid
angle, would be undetectably low. This argument is more-or-less
correct; in fact, even modern radio
telescopes with high sensitivity could not detect the 1 GHz blackbody
emission from the photosphere of a star like the Sun at the distance of
the nearest
stars $d \approx 1$ pc. So radio astronomy was discovered by
accident.

Karl
Jansky and the antenna that
discovered cosmic radio static. An accurate replica of this
antenna is located at the NRAO in Green Bank, WV. Image
credit

Karl Jansky
pointing out the
region
of the Galactic plane emitting the strong cosmic noise.
Image
credit
Although Jansky's discovery appeared
on the front page of the New
York Times, Bell Telephone had no practical interest in the cosmic
component of
radio static, so Karl Jansky was reassigned to other
projects. Jansky himself believed that the cosmic noise was
thermal emission because it produced a steady hiss in headphones that
sounded like the hiss produced by vacuum-tube amplifiers.
Astronomers couldn't understand how such strong
(equivalent to a $T \sim 2 \times 10^5$ K blackbody covering most of
the Galactic center) static
was produced and ignored it.
The only person who took a serious
interest in Jansky's discovery was the amateur radio operator and
professional radio engineer Grote Reber. He later wrote:
Radio astronomy became his
obsession. He devoted years of his
life to building the world's
first radio antenna with a parabolic reflector in his back yard in
Wheaton, IL and mapping the Galaxy with it.

Grote
Reber's backyard radio
telescope in Wheaton, IL. The parabolic reflector is about 10 m in
diameter. The original telescope was dismantled and reassembled
near the NRAO visitors science center in Green Bank, WV.
Image
credit
Since Reber also expected $B_\nu
\propto
\nu^2$, the Rayleigh-Jeans
spectrum of a black body, he started his
observations at $\nu = 3300$ MHz, the highest
technically feasible in the late 1930s. When he failed to see anything,
he
concluded
that the radio spectrum of the Galaxy was not Planckian. Next he tried
910
MHz, still with no luck, but "since I am a rather stubborn Dutchman,
this had the effect of whetting my appetite for more." He finally
succeeded in detecting and mapping (with about $10^\circ$ angular
resolution) the Galaxy at
160 MHz, thereby confirming Jansky's discovery and demonstrating that
the radio emission has a nonthermal
spectrum. He worked only at night (automotive ignition
interference in
Wheaton, IL was too strong during the day), recording radiometer meter
readings by hand once per minute. His results were published in the
Astrophysical Journal (Reber, G. 1940,
ApJ, 91, 621).

Grote
Reber with an early radio
receiver. Image
credit
Then World War 2 intervened, hindering astronomical research but stimulating an explosion of radio and radar technology. The same engineers and physicists who developed and used this technology during the war led the rapid scientific development of radio astronomy immediately after the war.
If you are interested in learning more about the early history of radio astronomy, read the NRAO web pages on this subject.