{"id":"vidhyamitra:city-day:kolhapur:2180-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2180-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2180-09-13","date_display":"September 13, 2180 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":2180,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517544.770833,"kali_year":5282,"ahargana":1929079.2708,"sun":{"sidereal_longitude":143.4772,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":64.9744,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.4972,"elapsed_within_tithi_degrees":5.4972},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.9744,"elapsed_within_degrees":11.6411},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.4516},"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":2180,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517544.770833,"ahargana":1929079.2708,"kali_year":5282,"ayanamsa_lahiri":26.3772,"grahas":{"sun":{"sidereal_longitude":144.63363400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":63.83723399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-2.6987},"mars":{"sidereal_longitude":47.71703400000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":157.86783400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":103.830334,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":107.49413400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":80.30143399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":208.0969,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.0969,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2180,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517544.770833,"kali_year":5282,"ahargana":1929079.2708,"sun":{"sidereal_longitude":143.4772,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":64.9744,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.4972,"elapsed_within_tithi_degrees":5.4972},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.9744,"elapsed_within_degrees":11.6411},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.4516},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.699,"elongation":78.503},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.699,"opposition_distance":101.497}},"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":"06:21","sunsetLocal":"18:36","solarNoonLocal":"12:28","dayLengthHours":12.258983837964546,"dayLengthDisplay":"12 Hours 15 Mins 32 Secs","nightLengthDisplay":"11 Hours 44 Mins 28 Secs","moonriseLocal":"00:33","moonsetLocal":"13:38","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"14:00","startHours":12.471215484502231,"endHours":14.003588464247802,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:24","startHours":7.874096545265527,"endHours":9.406469525011095,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:28","startHours":10.938842504756664,"endHours":12.471215484502231,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:37","startHours":9.202153127711686,"endHours":9.610785922310505,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.8525145587684815,"endHours":7.179420794447536,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:53","startHours":12.062582689903415,"endHours":12.87984827910105,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:31","startHours":4.707192387124686,"endHours":5.5244579763223225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:21","startHours":5.320141579022913,"endHours":6.341723565519959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:20","startHours":14.514379457496325,"endHours":15.331645046693962,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.400707403484507,"endHours":18.800707403484505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.600707403484506,"endHours":19.11149839673303,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.350707403484506,"endHours":20.100707403484506,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:53","startHours":24.06258268990341,"endHours":24.87984827910105,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:21","end":"07:52","startHours":6.341723565519959,"endHours":7.874096545265527,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:24","startHours":7.874096545265527,"endHours":9.406469525011095,"quality":"auspicious"},{"name":"Kāla","start":"09:24","end":"10:56","startHours":9.406469525011095,"endHours":10.938842504756664,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:28","startHours":10.938842504756664,"endHours":12.471215484502231,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"14:00","startHours":12.471215484502231,"endHours":14.003588464247802,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:32","startHours":14.003588464247802,"endHours":15.535961443993369,"quality":"inauspicious"},{"name":"Chala","start":"15:32","end":"17:04","startHours":15.535961443993369,"endHours":17.068334423738936,"quality":"neutral"},{"name":"Labha","start":"17:04","end":"18:36","startHours":17.068334423738936,"endHours":18.600707403484506,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:04","startHours":18.600707403484506,"endHours":20.06833442373894,"quality":"inauspicious"},{"name":"Chala","start":"20:04","end":"21:32","startHours":20.06833442373894,"endHours":21.53596144399337,"quality":"neutral"},{"name":"Labha","start":"21:32","end":"23:00","startHours":21.53596144399337,"endHours":23.0035884642478,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:28","startHours":23.0035884642478,"endHours":24.47121548450223,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:56","startHours":24.47121548450223,"endHours":25.938842504756664,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:24","startHours":25.938842504756664,"endHours":27.406469525011097,"quality":"auspicious"},{"name":"Roga","start":"03:24","end":"04:52","startHours":27.406469525011097,"endHours":28.87409654526553,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:21","startHours":28.87409654526553,"endHours":30.34172356551996,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.341723565519959,"endHours":7.341723565519959,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.341723565519959,"endHours":8.34172356551996,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.34172356551996,"endHours":9.34172356551996,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.34172356551996,"endHours":10.34172356551996,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.34172356551996,"endHours":11.34172356551996,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.34172356551996,"endHours":12.34172356551996,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.34172356551996,"endHours":13.34172356551996,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.34172356551996,"endHours":14.34172356551996,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.34172356551996,"endHours":15.34172356551996,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.34172356551996,"endHours":16.34172356551996,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.34172356551996,"endHours":17.34172356551996,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.34172356551996,"endHours":18.34172356551996,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.34172356551996,"endHours":19.34172356551996,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.34172356551996,"endHours":20.34172356551996,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.34172356551996,"endHours":21.34172356551996,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.34172356551996,"endHours":22.34172356551996,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.34172356551996,"endHours":23.34172356551996,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.34172356551996,"endHours":24.34172356551996,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.34172356551996,"endHours":25.34172356551996,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.34172356551996,"endHours":26.34172356551996,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.34172356551996,"endHours":27.34172356551996,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.34172356551996,"endHours":28.34172356551996,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.34172356551996,"endHours":29.34172356551996,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.34172356551996,"endHours":30.34172356551996,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.562929609990162,"eotMinutes":4.753870929866006,"ayanamsa":26.3772}},"calendars":{"vikram_samvat":2237,"vikram_samvatsara":"Vijaya","saka_samvat":2102,"saka_samvatsara":"Vikrama","bengali_samvat":1587,"malayalam_era":1356,"nanakshahi_year":711,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Kṛṣṇa Navamī · Vikram 2237 Vijaya · Śaka 2102 Vikrama"},"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 September 13, 2180 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 13, 2180 CE for Kolhāpur, Maharashtra: Kṛṣṇa Navamī, sūryodaya 06:21, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2180-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2180-09-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2180-09-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2180-09-13","x-default":"https://vidhyamitra.com/city/kolhapur/2180-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:05:32.676Z","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":"2026-05-31T03:05:32.676Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:05:32.676Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}