{"id":"vidhyamitra:city-day:kolhapur:1901-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1901-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1901-12-04","date_display":"December 4, 1901 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":1901,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415722.770833,"kali_year":5003,"ahargana":1827257.2708,"sun":{"sidereal_longitude":228.4854,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":148.5552,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.0698,"elapsed_within_tithi_degrees":4.0698},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.5552,"elapsed_within_degrees":1.8885},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.0405},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1901,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415722.770833,"ahargana":1827257.2708,"kali_year":5003,"ayanamsa_lahiri":22.4829,"grahas":{"sun":{"sidereal_longitude":228.72308299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":151.801283,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-3.665},"mars":{"sidereal_longitude":256.38438300000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":214.37658299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":264.12088300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":277.34678299999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":263.297783,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":203.1164,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":23.1164,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1901,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415722.770833,"kali_year":5003,"ahargana":1827257.2708,"sun":{"sidereal_longitude":228.4854,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":148.5552,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.0698,"elapsed_within_tithi_degrees":4.0698},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.5552,"elapsed_within_degrees":1.8885},"yoga":{"number":2,"name":"Prīti","sum_longitude":17.0405},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.665,"elongation":79.93},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.665,"opposition_distance":100.07}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-1.309,"opposition_distance":0.145}]},"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":"06:48","sunsetLocal":"18:00","solarNoonLocal":"12:24","dayLengthHours":11.191834254829566,"dayLengthDisplay":"11 Hours 11 Mins 31 Secs","nightLengthDisplay":"12 Hours 48 Mins 29 Secs","moonriseLocal":"01:11","moonsetLocal":"13:22","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:48","startHours":12.40109959109828,"endHours":13.800078872951977,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:12","end":"09:36","startHours":8.204161745537194,"endHours":9.60314102739089,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:24","startHours":11.002120309244585,"endHours":12.40109959109828,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:47","startHours":9.416610456477063,"endHours":9.789671598304716,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:16","end":"07:34","startHours":7.271508890968064,"endHours":7.569957804430185,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:46","startHours":12.028038449270628,"endHours":12.774160732925932,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:19","end":"06:04","startHours":5.3129378963728895,"endHours":6.059060180028194,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:48","startHours":5.872529609114368,"endHours":6.805182463683498,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:01","startHours":14.266405300236542,"endHours":15.012527583891847,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.797016718513063,"endHours":18.197016718513062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:28","startHours":17.997016718513063,"endHours":18.463343145797626,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.747016718513063,"endHours":19.497016718513063,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:46","startHours":24.02803844927063,"endHours":24.77416073292593,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:48","end":"08:12","startHours":6.805182463683498,"endHours":8.204161745537194,"quality":"auspicious"},{"name":"Amṛta","start":"08:12","end":"09:36","startHours":8.204161745537194,"endHours":9.60314102739089,"quality":"auspicious"},{"name":"Kāla","start":"09:36","end":"11:00","startHours":9.60314102739089,"endHours":11.002120309244585,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:24","startHours":11.002120309244585,"endHours":12.40109959109828,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:48","startHours":12.40109959109828,"endHours":13.800078872951977,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:12","startHours":13.800078872951977,"endHours":15.199058154805673,"quality":"inauspicious"},{"name":"Chala","start":"15:12","end":"16:36","startHours":15.199058154805673,"endHours":16.598037436659368,"quality":"neutral"},{"name":"Labha","start":"16:36","end":"18:00","startHours":16.598037436659368,"endHours":17.997016718513063,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:00","end":"19:36","startHours":17.997016718513063,"endHours":19.598037436659368,"quality":"inauspicious"},{"name":"Chala","start":"19:36","end":"21:12","startHours":19.598037436659368,"endHours":21.19905815480567,"quality":"neutral"},{"name":"Labha","start":"21:12","end":"22:48","startHours":21.19905815480567,"endHours":22.800078872951975,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:24","startHours":22.800078872951975,"endHours":24.40109959109828,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:00","startHours":24.40109959109828,"endHours":26.002120309244585,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:36","startHours":26.002120309244585,"endHours":27.60314102739089,"quality":"auspicious"},{"name":"Roga","start":"03:36","end":"05:12","startHours":27.60314102739089,"endHours":29.204161745537192,"quality":"inauspicious"},{"name":"Udveg","start":"05:12","end":"06:48","startHours":29.204161745537192,"endHours":30.805182463683497,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:48","end":"07:48","startHours":6.805182463683498,"endHours":7.805182463683498,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:48","end":"08:48","startHours":7.805182463683498,"endHours":8.805182463683497,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:48","end":"09:48","startHours":8.805182463683497,"endHours":9.805182463683497,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:48","end":"10:48","startHours":9.805182463683497,"endHours":10.805182463683497,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:48","end":"11:48","startHours":10.805182463683497,"endHours":11.805182463683497,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:48","end":"12:48","startHours":11.805182463683497,"endHours":12.805182463683497,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:48","end":"13:48","startHours":12.805182463683497,"endHours":13.805182463683497,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:48","end":"14:48","startHours":13.805182463683497,"endHours":14.805182463683497,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:48","end":"15:48","startHours":14.805182463683497,"endHours":15.805182463683497,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:48","end":"16:48","startHours":15.805182463683497,"endHours":16.805182463683497,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:48","end":"17:48","startHours":16.805182463683497,"endHours":17.805182463683497,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:48","end":"18:48","startHours":17.805182463683497,"endHours":18.805182463683497,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:48","end":"19:48","startHours":18.805182463683497,"endHours":19.805182463683497,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:48","end":"20:48","startHours":19.805182463683497,"endHours":20.805182463683497,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:48","end":"21:48","startHours":20.805182463683497,"endHours":21.805182463683497,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:48","end":"22:48","startHours":21.805182463683497,"endHours":22.805182463683497,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:48","end":"23:48","startHours":22.805182463683497,"endHours":23.805182463683497,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:48","end":"00:48","startHours":23.805182463683497,"endHours":24.805182463683497,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:48","end":"01:48","startHours":24.805182463683497,"endHours":25.805182463683497,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:48","end":"02:48","startHours":25.805182463683497,"endHours":26.805182463683497,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:48","end":"03:48","startHours":26.805182463683497,"endHours":27.805182463683497,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:48","end":"04:48","startHours":27.805182463683497,"endHours":28.805182463683497,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:48","end":"05:48","startHours":28.805182463683497,"endHours":29.805182463683497,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:48","end":"06:48","startHours":29.805182463683497,"endHours":30.805182463683497,"planetary_lord":"Sun"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.11869271322595,"eotMinutes":8.960824534103129,"ayanamsa":22.4829}},"calendars":{"vikram_samvat":1958,"vikram_samvatsara":"Ānanda","saka_samvat":1823,"saka_samvatsara":"Plava","bengali_samvat":1308,"malayalam_era":1077,"nanakshahi_year":432,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 1958 Ānanda · Śaka 1823 Plava"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 December 4, 1901 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 4, 1901 CE for Kolhāpur, Maharashtra: Kṛṣṇa Navamī, sūryodaya 06:48, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1901-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1901-12-04","sa":"https://sa.vidhyamitra.com/city/kolhapur/1901-12-04","hi":"https://hi.vidhyamitra.com/city/kolhapur/1901-12-04","x-default":"https://vidhyamitra.com/city/kolhapur/1901-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:14:21.933Z","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":"2026-05-31T06:14:21.933Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:14:21.933Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}