{"id":"vidhyamitra:city-day:kolhapur:2076-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2076-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-10-13","date_display":"October 13, 2076 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":2076,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479589.770833,"kali_year":5178,"ahargana":1891124.2708,"sun":{"sidereal_longitude":174.7532,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":4.4141,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.6609,"elapsed_within_tithi_degrees":9.6609},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4141,"elapsed_within_degrees":4.4141},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1672},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2076,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479589.770833,"ahargana":1891124.2708,"kali_year":5178,"ayanamsa_lahiri":24.9256,"grahas":{"sun":{"sidereal_longitude":175.67699400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":4.196893999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.6723},"mars":{"sidereal_longitude":225.73089400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":175.09939400000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":177.97499400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":139.96389399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":239.32439399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":59.1354,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.1354,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":2076,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479589.770833,"kali_year":5178,"ahargana":1891124.2708,"sun":{"sidereal_longitude":174.7532,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":4.4141,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.6609,"elapsed_within_tithi_degrees":9.6609},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4141,"elapsed_within_degrees":4.4141},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1672},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.672,"elongation":170.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.672,"opposition_distance":9.661}},"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":"06:25","sunsetLocal":"18:12","solarNoonLocal":"12:19","dayLengthHours":11.793022305329046,"dayLengthDisplay":"11 Hours 47 Mins 35 Secs","nightLengthDisplay":"12 Hours 12 Mins 25 Secs","moonriseLocal":"18:37","moonsetLocal":"07:09","rahuKala":{"name":"Rāhu Kāla","start":"15:15","end":"16:44","startHours":15.257995089531004,"endHours":16.732122877697133,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:22","end":"10:50","startHours":9.361483936866481,"endHours":10.83561172503261,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:47","startHours":12.309739513198743,"endHours":13.783867301364872,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:33","startHours":9.164933565110996,"endHours":9.558034308621965,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:13","startHours":6.904604289922929,"endHours":7.2190848847317035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:42","startHours":11.916638769687774,"endHours":12.702840256709711,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:38","startHours":4.840825386490346,"endHours":5.627026873512282,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:26","end":"06:25","startHours":5.430476501756798,"endHours":6.413228360534219,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:04","startHours":14.275243230753581,"endHours":15.061444717775517,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:00","end":"18:24","startHours":18.006250665863266,"endHours":18.406250665863265,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:12","end":"18:42","startHours":18.206250665863266,"endHours":18.697626595251975,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:57","end":"19:42","startHours":17.956250665863266,"endHours":19.706250665863266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:42","startHours":23.916638769687776,"endHours":24.70284025670971,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:25","end":"07:53","startHours":6.413228360534219,"endHours":7.887356148700349,"quality":"inauspicious"},{"name":"Udveg","start":"07:53","end":"09:22","startHours":7.887356148700349,"endHours":9.361483936866481,"quality":"inauspicious"},{"name":"Chala","start":"09:22","end":"10:50","startHours":9.361483936866481,"endHours":10.83561172503261,"quality":"neutral"},{"name":"Labha","start":"10:50","end":"12:19","startHours":10.83561172503261,"endHours":12.309739513198743,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:47","startHours":12.309739513198743,"endHours":13.783867301364872,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:15","startHours":13.783867301364872,"endHours":15.257995089531004,"quality":"inauspicious"},{"name":"Śubha","start":"15:15","end":"16:44","startHours":15.257995089531004,"endHours":16.732122877697133,"quality":"auspicious"},{"name":"Roga","start":"16:44","end":"18:12","startHours":16.732122877697133,"endHours":18.206250665863266,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:12","end":"19:44","startHours":18.206250665863266,"endHours":19.732122877697137,"quality":"inauspicious"},{"name":"Śubha","start":"19:44","end":"21:15","startHours":19.732122877697137,"endHours":21.257995089531004,"quality":"auspicious"},{"name":"Roga","start":"21:15","end":"22:47","startHours":21.257995089531004,"endHours":22.78386730136487,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:19","startHours":22.78386730136487,"endHours":24.309739513198743,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:50","startHours":24.309739513198743,"endHours":25.835611725032614,"quality":"neutral"},{"name":"Labha","start":"01:50","end":"03:22","startHours":25.835611725032614,"endHours":27.36148393686648,"quality":"auspicious"},{"name":"Amṛta","start":"03:22","end":"04:53","startHours":27.36148393686648,"endHours":28.88735614870035,"quality":"auspicious"},{"name":"Kāla","start":"04:53","end":"06:25","startHours":28.88735614870035,"endHours":30.41322836053422,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.413228360534219,"endHours":7.413228360534219,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.413228360534219,"endHours":8.41322836053422,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.41322836053422,"endHours":9.41322836053422,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.41322836053422,"endHours":10.41322836053422,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.41322836053422,"endHours":11.41322836053422,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.41322836053422,"endHours":12.41322836053422,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.41322836053422,"endHours":13.41322836053422,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.41322836053422,"endHours":14.41322836053422,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.41322836053422,"endHours":15.41322836053422,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.41322836053422,"endHours":16.41322836053422,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.41322836053422,"endHours":17.41322836053422,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.41322836053422,"endHours":18.41322836053422,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.41322836053422,"endHours":19.41322836053422,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.41322836053422,"endHours":20.41322836053422,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.41322836053422,"endHours":21.41322836053422,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.41322836053422,"endHours":22.41322836053422,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.41322836053422,"endHours":23.41322836053422,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.41322836053422,"endHours":24.41322836053422,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.41322836053422,"endHours":25.41322836053422,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.41322836053422,"endHours":26.41322836053422,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.41322836053422,"endHours":27.41322836053422,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.41322836053422,"endHours":28.41322836053422,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.41322836053422,"endHours":29.41322836053422,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.41322836053422,"endHours":30.41322836053422,"planetary_lord":"Saturn"}],"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","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.045282813534337,"eotMinutes":14.442429208075392,"ayanamsa":24.9256}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Pratipada · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 13, 2076 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 13, 2076 CE for Kolhāpur, Maharashtra: Kṛṣṇa Pratipada, sūryodaya 06:25, sūryāsta 18:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2076-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2076-10-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2076-10-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2076-10-13","x-default":"https://vidhyamitra.com/city/kolhapur/2076-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:54:39.086Z","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":"2026-05-30T22:54:39.086Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:54:39.086Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}