{"id":"vidhyamitra:city-day:kolhapur:2084-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2084-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-10-20","date_display":"October 20, 2084 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":2084,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482518.770833,"kali_year":5186,"ahargana":1894053.2708,"sun":{"sidereal_longitude":181.6386,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":75.4102,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7716,"elapsed_within_tithi_degrees":1.7716},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.4102,"elapsed_within_degrees":8.7436},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.0488},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2084,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482518.770833,"ahargana":1894053.2708,"kali_year":5186,"ayanamsa_lahiri":25.0376,"grahas":{"sun":{"sidereal_longitude":182.568085,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":74.621485,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":0.667},"mars":{"sidereal_longitude":29.227584999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":201.99078499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":79.53218500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":148.82588499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":333.13298499999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":263.9429,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":83.9429,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":2084,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482518.770833,"kali_year":5186,"ahargana":1894053.2708,"sun":{"sidereal_longitude":181.6386,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":75.4102,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7716,"elapsed_within_tithi_degrees":1.7716},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.4102,"elapsed_within_degrees":8.7436},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.0488},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.667,"elongation":106.228},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.667,"opposition_distance":73.772}},"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":"06:27","sunsetLocal":"18:08","solarNoonLocal":"12:17","dayLengthHours":11.687980936177562,"dayLengthDisplay":"11 Hours 41 Mins 17 Secs","nightLengthDisplay":"12 Hours 18 Mins 43 Secs","moonriseLocal":"22:33","moonsetLocal":"11:38","rahuKala":{"name":"Rāhu Kāla","start":"10:50","end":"12:17","startHours":10.827834528907283,"endHours":12.28883214592948,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:13","end":"16:40","startHours":15.21082737997387,"endHours":16.671824996996065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:54","end":"09:22","startHours":7.905839294862893,"endHours":9.366836911885088,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.172037229615462,"endHours":9.561636594154713,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:15","startHours":6.931840883514763,"endHours":7.243520375146165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:41","startHours":11.899232781390227,"endHours":12.678431510468732,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:40","startHours":4.886444219683689,"endHours":5.665642948762193,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:27","startHours":5.470843266492567,"endHours":6.444841677840698,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.236828968625739,"endHours":15.016027697704242,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93282261401826,"endHours":18.33282261401826,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:37","startHours":18.13282261401826,"endHours":18.619821819692323,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88282261401826,"endHours":19.63282261401826,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:41","startHours":23.89923278139023,"endHours":24.67843151046873,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:27","end":"07:54","startHours":6.444841677840698,"endHours":7.905839294862893,"quality":"neutral"},{"name":"Labha","start":"07:54","end":"09:22","startHours":7.905839294862893,"endHours":9.366836911885088,"quality":"auspicious"},{"name":"Amṛta","start":"09:22","end":"10:50","startHours":9.366836911885088,"endHours":10.827834528907283,"quality":"auspicious"},{"name":"Kāla","start":"10:50","end":"12:17","startHours":10.827834528907283,"endHours":12.28883214592948,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"13:45","startHours":12.28883214592948,"endHours":13.749829762951673,"quality":"auspicious"},{"name":"Roga","start":"13:45","end":"15:13","startHours":13.749829762951673,"endHours":15.21082737997387,"quality":"inauspicious"},{"name":"Udveg","start":"15:13","end":"16:40","startHours":15.21082737997387,"endHours":16.671824996996065,"quality":"inauspicious"},{"name":"Chala","start":"16:40","end":"18:08","startHours":16.671824996996065,"endHours":18.13282261401826,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:08","end":"19:40","startHours":18.13282261401826,"endHours":19.671824996996065,"quality":"inauspicious"},{"name":"Udveg","start":"19:40","end":"21:13","startHours":19.671824996996065,"endHours":21.210827379973868,"quality":"inauspicious"},{"name":"Chala","start":"21:13","end":"22:45","startHours":21.210827379973868,"endHours":22.749829762951673,"quality":"neutral"},{"name":"Labha","start":"22:45","end":"00:17","startHours":22.749829762951673,"endHours":24.28883214592948,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:50","startHours":24.28883214592948,"endHours":25.82783452890728,"quality":"auspicious"},{"name":"Kāla","start":"01:50","end":"03:22","startHours":25.82783452890728,"endHours":27.366836911885088,"quality":"inauspicious"},{"name":"Śubha","start":"03:22","end":"04:54","startHours":27.366836911885088,"endHours":28.905839294862893,"quality":"auspicious"},{"name":"Roga","start":"04:54","end":"06:27","startHours":28.905839294862893,"endHours":30.4448416778407,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.444841677840698,"endHours":7.444841677840698,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.444841677840698,"endHours":8.444841677840698,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.444841677840698,"endHours":9.444841677840698,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.444841677840698,"endHours":10.444841677840698,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.444841677840698,"endHours":11.444841677840698,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.444841677840698,"endHours":12.444841677840698,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.444841677840698,"endHours":13.444841677840698,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.444841677840698,"endHours":14.444841677840698,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.444841677840698,"endHours":15.444841677840698,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.444841677840698,"endHours":16.4448416778407,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.4448416778407,"endHours":17.4448416778407,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.4448416778407,"endHours":18.4448416778407,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.4448416778407,"endHours":19.4448416778407,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.4448416778407,"endHours":20.4448416778407,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.4448416778407,"endHours":21.4448416778407,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.4448416778407,"endHours":22.4448416778407,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.4448416778407,"endHours":23.4448416778407,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.4448416778407,"endHours":24.4448416778407,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.4448416778407,"endHours":25.4448416778407,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.4448416778407,"endHours":26.4448416778407,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.4448416778407,"endHours":27.4448416778407,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.4448416778407,"endHours":28.4448416778407,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.4448416778407,"endHours":29.4448416778407,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.4448416778407,"endHours":30.4448416778407,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.620489426849726,"eotMinutes":15.696871244231174,"ayanamsa":25.0376}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Saptamī · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"festivals":[],"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 October 20, 2084 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 20, 2084 CE for Kolhāpur, Maharashtra: Kṛṣṇa Saptamī, sūryodaya 06:27, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2084-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2084-10-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2084-10-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2084-10-20","x-default":"https://vidhyamitra.com/city/kolhapur/2084-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:50:33.260Z","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":"2026-05-31T22:50:33.260Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:50:33.260Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}