{"id":"vidhyamitra:city-day:ranchi:2136-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2136-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2136-09-13","date_display":"September 13, 2136 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":2136,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501473.770833,"kali_year":5238,"ahargana":1913008.2708,"sun":{"sidereal_longitude":143.8508,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":356.3094,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4586,"elapsed_within_tithi_degrees":8.4586},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.3094,"elapsed_within_degrees":9.6427},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.1602},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2136,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501473.770833,"ahargana":1913008.2708,"kali_year":5238,"ayanamsa_lahiri":25.7626,"grahas":{"sun":{"sidereal_longitude":144.901164,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":354.724664,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":1.2914},"mars":{"sidereal_longitude":180.29916400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":129.55006400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":187.23106400000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":177.365364,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":249.48576400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":339.6158,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":159.6158,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2136,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501473.770833,"kali_year":5238,"ahargana":1913008.2708,"sun":{"sidereal_longitude":143.8508,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":356.3094,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.4586,"elapsed_within_tithi_degrees":8.4586},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.3094,"elapsed_within_degrees":9.6427},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.1602},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.291,"elongation":147.541},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.291,"opposition_distance":32.459}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":0.258,"elongation":0.871}]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:34","sunsetLocal":"17:54","solarNoonLocal":"11:44","dayLengthHours":12.334503982085211,"dayLengthDisplay":"12 Hours 20 Mins 04 Secs","nightLengthDisplay":"11 Hours 39 Mins 56 Secs","moonriseLocal":"19:27","moonsetLocal":"08:00","rahuKala":{"name":"Rāhu Kāla","start":"13:17","end":"14:49","startHours":13.275275148929552,"endHours":14.817088146690203,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:34","end":"07:06","startHours":5.566210160126294,"endHours":7.1080231578869455,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:11","startHours":8.649836155647597,"endHours":10.19164915340825,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:51","startHours":8.444261089279511,"endHours":8.855411222015684,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:25","startHours":6.080147826046511,"endHours":6.40906793223545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:09","startHours":11.322312018432726,"endHours":12.144612283905072,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:45","startHours":3.9216096291815994,"endHours":4.743909894653947,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:34","startHours":4.53833482828586,"endHours":5.566210160126294,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:47","end":"14:37","startHours":13.789212814849767,"endHours":14.611513080322114,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:42","end":"18:06","startHours":17.700714142211506,"endHours":18.100714142211505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:54","end":"18:25","startHours":17.900714142211505,"endHours":18.414651808131723,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:39","end":"19:24","startHours":17.650714142211505,"endHours":19.400714142211505,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:09","startHours":23.322312018432726,"endHours":24.144612283905076,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:34","end":"07:06","startHours":5.566210160126294,"endHours":7.1080231578869455,"quality":"auspicious"},{"name":"Roga","start":"07:06","end":"08:39","startHours":7.1080231578869455,"endHours":8.649836155647597,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:11","startHours":8.649836155647597,"endHours":10.19164915340825,"quality":"inauspicious"},{"name":"Chala","start":"10:11","end":"11:44","startHours":10.19164915340825,"endHours":11.7334621511689,"quality":"neutral"},{"name":"Labha","start":"11:44","end":"13:17","startHours":11.7334621511689,"endHours":13.275275148929552,"quality":"auspicious"},{"name":"Amṛta","start":"13:17","end":"14:49","startHours":13.275275148929552,"endHours":14.817088146690203,"quality":"auspicious"},{"name":"Kāla","start":"14:49","end":"16:22","startHours":14.817088146690203,"endHours":16.358901144450854,"quality":"inauspicious"},{"name":"Śubha","start":"16:22","end":"17:54","startHours":16.358901144450854,"endHours":17.900714142211505,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:54","end":"19:22","startHours":17.900714142211505,"endHours":19.358901144450854,"quality":"auspicious"},{"name":"Kāla","start":"19:22","end":"20:49","startHours":19.358901144450854,"endHours":20.817088146690203,"quality":"inauspicious"},{"name":"Śubha","start":"20:49","end":"22:17","startHours":20.817088146690203,"endHours":22.275275148929552,"quality":"auspicious"},{"name":"Roga","start":"22:17","end":"23:44","startHours":22.275275148929552,"endHours":23.7334621511689,"quality":"inauspicious"},{"name":"Udveg","start":"23:44","end":"01:11","startHours":23.7334621511689,"endHours":25.19164915340825,"quality":"inauspicious"},{"name":"Chala","start":"01:11","end":"02:39","startHours":25.19164915340825,"endHours":26.6498361556476,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:06","startHours":26.6498361556476,"endHours":28.108023157886947,"quality":"auspicious"},{"name":"Amṛta","start":"04:06","end":"05:34","startHours":28.108023157886947,"endHours":29.566210160126296,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.566210160126294,"endHours":6.566210160126294,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.566210160126294,"endHours":7.566210160126294,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.566210160126294,"endHours":8.566210160126294,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.566210160126294,"endHours":9.566210160126294,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.566210160126294,"endHours":10.566210160126294,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.566210160126294,"endHours":11.566210160126294,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.566210160126294,"endHours":12.566210160126294,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.566210160126294,"endHours":13.566210160126294,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.566210160126294,"endHours":14.566210160126294,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.566210160126294,"endHours":15.566210160126294,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.566210160126294,"endHours":16.566210160126296,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.566210160126296,"endHours":17.566210160126296,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.566210160126296,"endHours":18.566210160126296,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.566210160126296,"endHours":19.566210160126296,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.566210160126296,"endHours":20.566210160126296,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.566210160126296,"endHours":21.566210160126296,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.566210160126296,"endHours":22.566210160126296,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.566210160126296,"endHours":23.566210160126296,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.566210160126296,"endHours":24.566210160126296,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.566210160126296,"endHours":25.566210160126296,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.566210160126296,"endHours":26.566210160126296,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.566210160126296,"endHours":27.566210160126296,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.566210160126296,"endHours":28.566210160126296,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.566210160126296,"endHours":29.566210160126296,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.6994832024206814,"eotMinutes":4.753870929866006,"ayanamsa":25.7626}},"calendars":{"vikram_samvat":2193,"vikram_samvatsara":"Saumya","saka_samvat":2058,"saka_samvatsara":"Durmukhi","bengali_samvat":1543,"malayalam_era":1312,"nanakshahi_year":667,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Tṛtīyā · Vikram 2193 Saumya · Śaka 2058 Durmukhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ranchi"},"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, 2136 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 13, 2136 CE for Ranchi, Jharkhand: Kṛṣṇa Tṛtīyā, sūryodaya 05:34, sūryāsta 17:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2136-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2136-09-13","sa":"https://sa.vidhyamitra.com/city/ranchi/2136-09-13","hi":"https://hi.vidhyamitra.com/city/ranchi/2136-09-13","x-default":"https://vidhyamitra.com/city/ranchi/2136-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:42:24.352Z","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":"2026-05-31T14:42:24.352Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:42:24.352Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}