{"id":"vidhyamitra:city-day:kolhapur:1964-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1964-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-08-21","date_display":"August 21, 1964 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1964,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438628.770833,"kali_year":5066,"ahargana":1850163.2708,"sun":{"sidereal_longitude":124.0952,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":278.0237,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.9286,"elapsed_within_tithi_degrees":9.9286},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.0237,"elapsed_within_degrees":11.3571},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.1189},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1964,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438628.770833,"ahargana":1850163.2708,"kali_year":5066,"ayanamsa_lahiri":23.359,"grahas":{"sun":{"sidereal_longitude":124.65380500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":279.29090500000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.1508},"mars":{"sidereal_longitude":81.175705,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":145.15880500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":32.49070499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":79.54650500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":309.310705,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":69.4463,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.4463,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1964,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438628.770833,"kali_year":5066,"ahargana":1850163.2708,"sun":{"sidereal_longitude":124.0952,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":278.0237,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.9286,"elapsed_within_tithi_degrees":9.9286},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.0237,"elapsed_within_degrees":11.3571},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.1189},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.151,"elongation":153.929},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.151,"opposition_distance":26.071}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:17","sunsetLocal":"18:54","solarNoonLocal":"12:36","dayLengthHours":12.613413779814756,"dayLengthDisplay":"12 Hours 36 Mins 48 Secs","nightLengthDisplay":"11 Hours 23 Mins 12 Secs","moonriseLocal":"17:16","moonsetLocal":"04:32","rahuKala":{"name":"Rāhu Kāla","start":"11:01","end":"12:36","startHours":11.020401499456403,"endHours":12.597078221933248,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:45","end":"17:20","startHours":15.750431666886936,"endHours":17.327108389363783,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:27","startHours":7.867048054502714,"endHours":9.443724776979558,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.233501213982645,"endHours":9.653948339976472,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:09","startHours":6.815930239518151,"endHours":7.152287940313212,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"13:01","startHours":12.176631095939424,"endHours":13.017525347927073,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:27","startHours":4.608582828050569,"endHours":5.449477080038219,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:17","startHours":5.239253517041306,"endHours":6.290371332025869,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:32","startHours":14.699313851902374,"endHours":15.540208103890025,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.703785111840627,"endHours":19.103785111840626,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:26","startHours":18.903785111840627,"endHours":19.42934401933291,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.653785111840627,"endHours":20.403785111840627,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"01:01","startHours":24.176631095939424,"endHours":25.017525347927073,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:17","end":"07:52","startHours":6.290371332025869,"endHours":7.867048054502714,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:27","startHours":7.867048054502714,"endHours":9.443724776979558,"quality":"auspicious"},{"name":"Amṛta","start":"09:27","end":"11:01","startHours":9.443724776979558,"endHours":11.020401499456403,"quality":"auspicious"},{"name":"Kāla","start":"11:01","end":"12:36","startHours":11.020401499456403,"endHours":12.597078221933248,"quality":"inauspicious"},{"name":"Śubha","start":"12:36","end":"14:10","startHours":12.597078221933248,"endHours":14.173754944410092,"quality":"auspicious"},{"name":"Roga","start":"14:10","end":"15:45","startHours":14.173754944410092,"endHours":15.750431666886936,"quality":"inauspicious"},{"name":"Udveg","start":"15:45","end":"17:20","startHours":15.750431666886936,"endHours":17.327108389363783,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"18:54","startHours":17.327108389363783,"endHours":18.903785111840627,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:54","end":"20:20","startHours":18.903785111840627,"endHours":20.327108389363783,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:45","startHours":20.327108389363783,"endHours":21.75043166688694,"quality":"inauspicious"},{"name":"Chala","start":"21:45","end":"23:10","startHours":21.75043166688694,"endHours":23.173754944410092,"quality":"neutral"},{"name":"Labha","start":"23:10","end":"00:36","startHours":23.173754944410092,"endHours":24.59707822193325,"quality":"auspicious"},{"name":"Amṛta","start":"00:36","end":"02:01","startHours":24.59707822193325,"endHours":26.020401499456405,"quality":"auspicious"},{"name":"Kāla","start":"02:01","end":"03:27","startHours":26.020401499456405,"endHours":27.443724776979558,"quality":"inauspicious"},{"name":"Śubha","start":"03:27","end":"04:52","startHours":27.443724776979558,"endHours":28.867048054502714,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:17","startHours":28.867048054502714,"endHours":30.29037133202587,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.290371332025869,"endHours":7.290371332025869,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.290371332025869,"endHours":8.29037133202587,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.29037133202587,"endHours":9.29037133202587,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.29037133202587,"endHours":10.29037133202587,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.29037133202587,"endHours":11.29037133202587,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.29037133202587,"endHours":12.29037133202587,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.29037133202587,"endHours":13.29037133202587,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.29037133202587,"endHours":14.29037133202587,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.29037133202587,"endHours":15.29037133202587,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.29037133202587,"endHours":16.29037133202587,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.29037133202587,"endHours":17.29037133202587,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.29037133202587,"endHours":18.29037133202587,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.29037133202587,"endHours":19.29037133202587,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.29037133202587,"endHours":20.29037133202587,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.29037133202587,"endHours":21.29037133202587,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.29037133202587,"endHours":22.29037133202587,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.29037133202587,"endHours":23.29037133202587,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.29037133202587,"endHours":24.29037133202587,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.29037133202587,"endHours":25.29037133202587,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.29037133202587,"endHours":26.29037133202587,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.29037133202587,"endHours":27.29037133202587,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.29037133202587,"endHours":28.29037133202587,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.29037133202587,"endHours":29.29037133202587,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.29037133202587,"endHours":30.29037133202587,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.16283242905537,"eotMinutes":-2.7978933159948465,"ayanamsa":23.359}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 21, 1964 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 21, 1964 CE for Kolhāpur, Maharashtra: Śukla Trayodaśī, sūryodaya 06:17, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1964-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1964-08-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/1964-08-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/1964-08-21","x-default":"https://vidhyamitra.com/city/kolhapur/1964-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:56:44.906Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T20:56:44.906Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:56:44.906Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}