{"id":"vidhyamitra:city-day:kolhapur:2051-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2051-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-08-13","date_display":"August 13, 2051 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":2051,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470396.770833,"kali_year":5153,"ahargana":1881931.2708,"sun":{"sidereal_longitude":114.9973,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":189.8451,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.8479,"elapsed_within_tithi_degrees":2.8479},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.8451,"elapsed_within_degrees":3.1785},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8424},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2051,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470396.770833,"ahargana":1881931.2708,"kali_year":5153,"ayanamsa_lahiri":24.574,"grahas":{"sun":{"sidereal_longitude":115.72063400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":187.57613400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":0.2839},"mars":{"sidereal_longitude":124.36173399999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":105.57653400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":135.21153400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":117.16923399999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":291.74323400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":186.2248,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.2248,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470396.770833,"kali_year":5153,"ahargana":1881931.2708,"sun":{"sidereal_longitude":114.9973,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":189.8451,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.8479,"elapsed_within_tithi_degrees":2.8479},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.8451,"elapsed_within_degrees":3.1785},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.8424},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.284,"elongation":74.848},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.284,"opposition_distance":105.152}},"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":"06:16","sunsetLocal":"18:59","solarNoonLocal":"12:38","dayLengthHours":12.723275884446357,"dayLengthDisplay":"12 Hours 43 Mins 24 Secs","nightLengthDisplay":"11 Hours 16 Mins 36 Secs","moonriseLocal":"11:37","moonsetLocal":"23:13","rahuKala":{"name":"Rāhu Kāla","start":"17:24","end":"18:59","startHours":17.397700468970974,"endHours":18.98810995452677,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:38","end":"14:13","startHours":12.62647201230359,"endHours":14.216881497859386,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:48","end":"17:24","startHours":15.80729098341518,"endHours":17.397700468970974,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.233598443117897,"endHours":9.657707639266109,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:08","startHours":6.794970565265678,"endHours":7.134257922184248,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"13:03","startHours":12.202362816155379,"endHours":13.050581208451803,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:25","startHours":4.568397285487565,"endHours":5.416615677783989,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:12","end":"06:16","startHours":5.204561079709883,"endHours":6.264834070080413,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:45","end":"15:36","startHours":14.74701799304465,"endHours":15.595236385341074,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.78810995452677,"endHours":19.18810995452677,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:31","startHours":18.98810995452677,"endHours":19.518246449712034,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.73810995452677,"endHours":20.48810995452677,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"01:03","startHours":24.20236281615538,"endHours":25.050581208451803,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:16","end":"07:51","startHours":6.264834070080413,"endHours":7.855243555636208,"quality":"inauspicious"},{"name":"Chala","start":"07:51","end":"09:27","startHours":7.855243555636208,"endHours":9.445653041192003,"quality":"neutral"},{"name":"Labha","start":"09:27","end":"11:02","startHours":9.445653041192003,"endHours":11.036062526747797,"quality":"auspicious"},{"name":"Amṛta","start":"11:02","end":"12:38","startHours":11.036062526747797,"endHours":12.62647201230359,"quality":"auspicious"},{"name":"Kāla","start":"12:38","end":"14:13","startHours":12.62647201230359,"endHours":14.216881497859386,"quality":"inauspicious"},{"name":"Śubha","start":"14:13","end":"15:48","startHours":14.216881497859386,"endHours":15.80729098341518,"quality":"auspicious"},{"name":"Roga","start":"15:48","end":"17:24","startHours":15.80729098341518,"endHours":17.397700468970974,"quality":"inauspicious"},{"name":"Udveg","start":"17:24","end":"18:59","startHours":17.397700468970974,"endHours":18.98810995452677,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:59","end":"20:24","startHours":18.98810995452677,"endHours":20.397700468970974,"quality":"auspicious"},{"name":"Roga","start":"20:24","end":"21:48","startHours":20.397700468970974,"endHours":21.807290983415182,"quality":"inauspicious"},{"name":"Udveg","start":"21:48","end":"23:13","startHours":21.807290983415182,"endHours":23.216881497859386,"quality":"inauspicious"},{"name":"Chala","start":"23:13","end":"00:38","startHours":23.216881497859386,"endHours":24.62647201230359,"quality":"neutral"},{"name":"Labha","start":"00:38","end":"02:02","startHours":24.62647201230359,"endHours":26.0360625267478,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"03:27","startHours":26.0360625267478,"endHours":27.445653041192003,"quality":"auspicious"},{"name":"Kāla","start":"03:27","end":"04:51","startHours":27.445653041192003,"endHours":28.855243555636207,"quality":"inauspicious"},{"name":"Śubha","start":"04:51","end":"06:16","startHours":28.855243555636207,"endHours":30.26483407008041,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.264834070080413,"endHours":7.264834070080413,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.264834070080413,"endHours":8.264834070080413,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.264834070080413,"endHours":9.264834070080413,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.264834070080413,"endHours":10.264834070080413,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.264834070080413,"endHours":11.264834070080413,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.264834070080413,"endHours":12.264834070080413,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.264834070080413,"endHours":13.264834070080413,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.264834070080413,"endHours":14.264834070080413,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.264834070080413,"endHours":15.264834070080413,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.264834070080413,"endHours":16.26483407008041,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26483407008041,"endHours":17.26483407008041,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26483407008041,"endHours":18.26483407008041,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26483407008041,"endHours":19.26483407008041,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26483407008041,"endHours":20.26483407008041,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26483407008041,"endHours":21.26483407008041,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26483407008041,"endHours":22.26483407008041,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26483407008041,"endHours":23.26483407008041,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26483407008041,"endHours":24.26483407008041,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26483407008041,"endHours":25.26483407008041,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26483407008041,"endHours":26.26483407008041,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26483407008041,"endHours":27.26483407008041,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26483407008041,"endHours":28.26483407008041,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26483407008041,"endHours":29.26483407008041,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26483407008041,"endHours":30.26483407008041,"planetary_lord":"Jupiter"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.71951337041006,"eotMinutes":-4.561520738215509,"ayanamsa":24.574}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Saptamī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 August 13, 2051 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 13, 2051 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:16, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2051-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2051-08-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2051-08-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2051-08-13","x-default":"https://vidhyamitra.com/city/kolhapur/2051-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:46:42.403Z","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":"2026-06-01T14:46:42.403Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:46:42.403Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}