{"id":"vidhyamitra:city-day:kolhapur:1881-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1881-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1881-01-04","date_display":"January 4, 1881 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":1881,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2408084.770833,"kali_year":4982,"ahargana":1819619.2708,"sun":{"sidereal_longitude":261.7812,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":307.6528,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.8716,"elapsed_within_tithi_degrees":9.8716},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6528,"elapsed_within_degrees":0.9862},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.4341},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1881,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2408084.770833,"ahargana":1819619.2708,"kali_year":4982,"ayanamsa_lahiri":22.1908,"grahas":{"sun":{"sidereal_longitude":261.690611,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":310.050611,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":3.8897},"mars":{"sidereal_longitude":241.85341099999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.22701099999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":350.37161100000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":305.0417110000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":0.9380110000000172,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":247.8144,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":67.8144,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":1881,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2408084.770833,"kali_year":4982,"ahargana":1819619.2708,"sun":{"sidereal_longitude":261.7812,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":307.6528,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.8716,"elapsed_within_tithi_degrees":9.8716},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6528,"elapsed_within_degrees":0.9862},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.4341},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.89,"elongation":45.872},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.89,"opposition_distance":134.128}},"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":"07:03","sunsetLocal":"18:13","solarNoonLocal":"12:38","dayLengthHours":11.16438140674007,"dayLengthDisplay":"11 Hours 09 Mins 52 Secs","nightLengthDisplay":"12 Hours 50 Mins 08 Secs","moonriseLocal":"10:02","moonsetLocal":"21:41","rahuKala":{"name":"Rāhu Kāla","start":"15:26","end":"16:49","startHours":15.425273799440786,"endHours":16.820821475283296,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:51","end":"11:14","startHours":9.843083096070751,"endHours":11.238630771913261,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"14:02","startHours":12.634178447755769,"endHours":14.029726123598277,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:02","startHours":9.657010072625084,"endHours":10.029156119516418,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:49","startHours":7.5171703029999035,"endHours":7.8148871405129725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:00","startHours":12.262032400864433,"endHours":13.006324494647105,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:18","startHours":5.563403556820392,"endHours":6.307695650603063,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"07:03","startHours":6.121622627157395,"endHours":7.051987744385734,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:14","startHours":14.494908682212447,"endHours":15.23920077599512,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.016369151125804,"endHours":18.416369151125803,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:41","startHours":18.216369151125804,"endHours":18.681551709739974,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.966369151125804,"endHours":19.716369151125804,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:00","startHours":24.262032400864435,"endHours":25.006324494647103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:03","end":"08:27","startHours":7.051987744385734,"endHours":8.447535420228242,"quality":"inauspicious"},{"name":"Udveg","start":"08:27","end":"09:51","startHours":8.447535420228242,"endHours":9.843083096070751,"quality":"inauspicious"},{"name":"Chala","start":"09:51","end":"11:14","startHours":9.843083096070751,"endHours":11.238630771913261,"quality":"neutral"},{"name":"Labha","start":"11:14","end":"12:38","startHours":11.238630771913261,"endHours":12.634178447755769,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"14:02","startHours":12.634178447755769,"endHours":14.029726123598277,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:26","startHours":14.029726123598277,"endHours":15.425273799440786,"quality":"inauspicious"},{"name":"Śubha","start":"15:26","end":"16:49","startHours":15.425273799440786,"endHours":16.820821475283296,"quality":"auspicious"},{"name":"Roga","start":"16:49","end":"18:13","startHours":16.820821475283296,"endHours":18.216369151125804,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:13","end":"19:49","startHours":18.216369151125804,"endHours":19.820821475283296,"quality":"inauspicious"},{"name":"Śubha","start":"19:49","end":"21:26","startHours":19.820821475283296,"endHours":21.425273799440788,"quality":"auspicious"},{"name":"Roga","start":"21:26","end":"23:02","startHours":21.425273799440788,"endHours":23.029726123598277,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:38","startHours":23.029726123598277,"endHours":24.63417844775577,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:14","startHours":24.63417844775577,"endHours":26.23863077191326,"quality":"neutral"},{"name":"Labha","start":"02:14","end":"03:51","startHours":26.23863077191326,"endHours":27.84308309607075,"quality":"auspicious"},{"name":"Amṛta","start":"03:51","end":"05:27","startHours":27.84308309607075,"endHours":29.44753542022824,"quality":"auspicious"},{"name":"Kāla","start":"05:27","end":"07:03","startHours":29.44753542022824,"endHours":31.051987744385734,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.051987744385734,"endHours":8.051987744385734,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.051987744385734,"endHours":9.051987744385734,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.051987744385734,"endHours":10.051987744385734,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.051987744385734,"endHours":11.051987744385734,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.051987744385734,"endHours":12.051987744385734,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.051987744385734,"endHours":13.051987744385734,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.051987744385734,"endHours":14.051987744385734,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.051987744385734,"endHours":15.051987744385734,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.051987744385734,"endHours":16.051987744385734,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.051987744385734,"endHours":17.051987744385734,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.051987744385734,"endHours":18.051987744385734,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.051987744385734,"endHours":19.051987744385734,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.051987744385734,"endHours":20.051987744385734,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.051987744385734,"endHours":21.051987744385734,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.051987744385734,"endHours":22.051987744385734,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.051987744385734,"endHours":23.051987744385734,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.051987744385734,"endHours":24.051987744385734,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.051987744385734,"endHours":25.051987744385734,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.051987744385734,"endHours":26.051987744385734,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.051987744385734,"endHours":27.051987744385734,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.051987744385734,"endHours":28.051987744385734,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.051987744385734,"endHours":29.051987744385734,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.051987744385734,"endHours":30.051987744385734,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.051987744385734,"endHours":31.051987744385734,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.71306735383321,"eotMinutes":-5.02390686534617,"ayanamsa":22.1908}},"calendars":{"vikram_samvat":1938,"vikram_samvatsara":"Jaya","saka_samvat":1803,"saka_samvatsara":"Vṛṣa","bengali_samvat":1288,"malayalam_era":1057,"nanakshahi_year":412,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 1938 Jaya · Śaka 1803 Vṛṣa"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 January 4, 1881 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 4, 1881 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 07:03, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1881-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1881-01-04","sa":"https://sa.vidhyamitra.com/city/kolhapur/1881-01-04","hi":"https://hi.vidhyamitra.com/city/kolhapur/1881-01-04","x-default":"https://vidhyamitra.com/city/kolhapur/1881-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:03:27.844Z","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":"2026-05-31T14:03:27.844Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:03:27.844Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}