{"id":"vidhyamitra:city-day:kolhapur:2050-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2050-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-21","date_display":"July 21, 2050 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":2050,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470008.770833,"kali_year":5152,"ahargana":1881543.2708,"sun":{"sidereal_longitude":93.3743,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":120.3804,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.0061,"elapsed_within_tithi_degrees":3.0061},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3804,"elapsed_within_degrees":0.3804},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.7547},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2050,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470008.770833,"ahargana":1881543.2708,"kali_year":5152,"ayanamsa_lahiri":24.5592,"grahas":{"sun":{"sidereal_longitude":93.960959,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":118.03245900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-4.4911},"mars":{"sidereal_longitude":301.15225899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":119.23415899999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":106.24625900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":138.06525899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":280.8382590000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.7829,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.7829,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2050,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470008.770833,"kali_year":5152,"ahargana":1881543.2708,"sun":{"sidereal_longitude":93.3743,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":120.3804,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.0061,"elapsed_within_tithi_degrees":3.0061},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":120.3804,"elapsed_within_degrees":0.3804},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.7547},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.491,"elongation":27.006},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.491,"opposition_distance":152.994}},"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":"06:10","sunsetLocal":"19:09","solarNoonLocal":"12:39","dayLengthHours":12.981587879221651,"dayLengthDisplay":"12 Hours 58 Mins 54 Secs","nightLengthDisplay":"11 Hours 01 Mins 06 Secs","moonriseLocal":"07:56","moonsetLocal":"20:35","rahuKala":{"name":"Rāhu Kāla","start":"14:16","end":"15:54","startHours":14.273975208824105,"endHours":15.896673693726811,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:10","end":"07:47","startHours":6.160482784310572,"endHours":7.783181269213278,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:24","end":"11:02","startHours":9.405879754115984,"endHours":11.028578239018692,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:37","startHours":9.189519956128958,"endHours":9.622239552103013,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:03","startHours":6.701382279278141,"endHours":7.047557956057385,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.218557127947344,"endHours":13.083996319895453,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:18","startHours":4.429604400414352,"endHours":5.295043592362462,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:10","startHours":5.078683794375435,"endHours":6.160482784310572,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:41","startHours":14.814874703791672,"endHours":15.680313895739781,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.942070663532224,"endHours":19.342070663532223,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:41","startHours":19.142070663532223,"endHours":19.682970158499792,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.892070663532223,"endHours":20.642070663532223,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.218557127947342,"endHours":25.083996319895455,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:10","end":"07:47","startHours":6.160482784310572,"endHours":7.783181269213278,"quality":"auspicious"},{"name":"Roga","start":"07:47","end":"09:24","startHours":7.783181269213278,"endHours":9.405879754115984,"quality":"inauspicious"},{"name":"Udveg","start":"09:24","end":"11:02","startHours":9.405879754115984,"endHours":11.028578239018692,"quality":"inauspicious"},{"name":"Chala","start":"11:02","end":"12:39","startHours":11.028578239018692,"endHours":12.651276723921399,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"14:16","startHours":12.651276723921399,"endHours":14.273975208824105,"quality":"auspicious"},{"name":"Amṛta","start":"14:16","end":"15:54","startHours":14.273975208824105,"endHours":15.896673693726811,"quality":"auspicious"},{"name":"Kāla","start":"15:54","end":"17:31","startHours":15.896673693726811,"endHours":17.519372178629517,"quality":"inauspicious"},{"name":"Śubha","start":"17:31","end":"19:09","startHours":17.519372178629517,"endHours":19.142070663532223,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:31","startHours":19.142070663532223,"endHours":20.519372178629517,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"21:54","startHours":20.519372178629517,"endHours":21.89667369372681,"quality":"inauspicious"},{"name":"Śubha","start":"21:54","end":"23:16","startHours":21.89667369372681,"endHours":23.273975208824105,"quality":"auspicious"},{"name":"Roga","start":"23:16","end":"00:39","startHours":23.273975208824105,"endHours":24.6512767239214,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:02","startHours":24.6512767239214,"endHours":26.028578239018692,"quality":"inauspicious"},{"name":"Chala","start":"02:02","end":"03:24","startHours":26.028578239018692,"endHours":27.405879754115986,"quality":"neutral"},{"name":"Labha","start":"03:24","end":"04:47","startHours":27.405879754115986,"endHours":28.78318126921328,"quality":"auspicious"},{"name":"Amṛta","start":"04:47","end":"06:10","startHours":28.78318126921328,"endHours":30.160482784310574,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.160482784310572,"endHours":7.160482784310572,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.160482784310572,"endHours":8.160482784310572,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.160482784310572,"endHours":9.160482784310572,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.160482784310572,"endHours":10.160482784310572,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.160482784310572,"endHours":11.160482784310572,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.160482784310572,"endHours":12.160482784310572,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.160482784310572,"endHours":13.160482784310572,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.160482784310572,"endHours":14.160482784310572,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.160482784310572,"endHours":15.160482784310572,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.160482784310572,"endHours":16.160482784310574,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.160482784310574,"endHours":17.160482784310574,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.160482784310574,"endHours":18.160482784310574,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.160482784310574,"endHours":19.160482784310574,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.160482784310574,"endHours":20.160482784310574,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.160482784310574,"endHours":21.160482784310574,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.160482784310574,"endHours":22.160482784310574,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.160482784310574,"endHours":23.160482784310574,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.160482784310574,"endHours":24.160482784310574,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.160482784310574,"endHours":25.160482784310574,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.160482784310574,"endHours":26.160482784310574,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.160482784310574,"endHours":27.160482784310574,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.160482784310574,"endHours":28.160482784310574,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.160482784310574,"endHours":29.160482784310574,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.160482784310574,"endHours":30.160482784310574,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.454736185468704,"eotMinutes":-6.049803435283957,"ayanamsa":24.5592}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa (Adhika) Śukla Tṛtīyā · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 July 21, 2050 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 21, 2050 CE for Kolhāpur, Maharashtra: Śukla Tṛtīyā, sūryodaya 06:10, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2050-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2050-07-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2050-07-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2050-07-21","x-default":"https://vidhyamitra.com/city/kolhapur/2050-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:37:20.095Z","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":"2026-06-01T00:37:20.095Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:37:20.095Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}