{"id":"vidhyamitra:city-day:ranchi:2129-09-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2129-09-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-09-07","date_display":"September 7, 2129 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":2129,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498910.770833,"kali_year":5231,"ahargana":1910445.2708,"sun":{"sidereal_longitude":137.8603,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":62.4018,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.5415,"elapsed_within_tithi_degrees":8.5415},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.4018,"elapsed_within_degrees":9.0685},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.2622},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2129,"month":9,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498910.770833,"ahargana":1910445.2708,"kali_year":5231,"ayanamsa_lahiri":25.6646,"grahas":{"sun":{"sidereal_longitude":138.87579000000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.87139000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-3.5932},"mars":{"sidereal_longitude":294.78058999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":119.83708999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":350.47299,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":114.43858999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":172.95629000000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":115.4158,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":295.4158,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2129,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498910.770833,"kali_year":5231,"ahargana":1910445.2708,"sun":{"sidereal_longitude":137.8603,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":62.4018,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.5415,"elapsed_within_tithi_degrees":8.5415},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.4018,"elapsed_within_degrees":9.0685},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.2622},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.593,"elongation":75.459},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.593,"opposition_distance":104.541}},"eclipse_window_40days":[]},"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":"05:32","sunsetLocal":"18:00","solarNoonLocal":"11:46","dayLengthHours":12.473483460397675,"dayLengthDisplay":"12 Hours 28 Mins 25 Secs","nightLengthDisplay":"11 Hours 31 Mins 35 Secs","moonriseLocal":"00:08","moonsetLocal":"13:40","rahuKala":{"name":"Rāhu Kāla","start":"11:46","end":"13:20","startHours":11.770058350482621,"endHours":13.329243783032329,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:06","end":"08:39","startHours":7.092502052833492,"endHours":8.651687485383201,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:13","end":"11:46","startHours":10.21087291793291,"endHours":11.770058350482621,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.443796094376573,"endHours":8.859578876389829,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:23","startHours":6.053045097800353,"endHours":6.385671323410957,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:11","startHours":11.354275568469365,"endHours":12.185841132495877,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:42","startHours":3.8701854922307595,"endHours":4.701751056257271,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:32","startHours":4.493859665250643,"endHours":5.533316620283783,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:41","startHours":13.8489722605489,"endHours":14.680537824575412,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.80680008068146,"endHours":18.206800080681457,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:32","startHours":18.006800080681458,"endHours":18.526528558198027,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.756800080681458,"endHours":19.506800080681458,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:11","startHours":23.354275568469365,"endHours":24.185841132495877,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:32","end":"07:06","startHours":5.533316620283783,"endHours":7.092502052833492,"quality":"auspicious"},{"name":"Amṛta","start":"07:06","end":"08:39","startHours":7.092502052833492,"endHours":8.651687485383201,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:13","startHours":8.651687485383201,"endHours":10.21087291793291,"quality":"inauspicious"},{"name":"Śubha","start":"10:13","end":"11:46","startHours":10.21087291793291,"endHours":11.770058350482621,"quality":"auspicious"},{"name":"Roga","start":"11:46","end":"13:20","startHours":11.770058350482621,"endHours":13.329243783032329,"quality":"inauspicious"},{"name":"Udveg","start":"13:20","end":"14:53","startHours":13.329243783032329,"endHours":14.88842921558204,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:27","startHours":14.88842921558204,"endHours":16.447614648131747,"quality":"neutral"},{"name":"Labha","start":"16:27","end":"18:00","startHours":16.447614648131747,"endHours":18.006800080681458,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:00","end":"19:27","startHours":18.006800080681458,"endHours":19.447614648131747,"quality":"inauspicious"},{"name":"Chala","start":"19:27","end":"20:53","startHours":19.447614648131747,"endHours":20.88842921558204,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:20","startHours":20.88842921558204,"endHours":22.32924378303233,"quality":"auspicious"},{"name":"Amṛta","start":"22:20","end":"23:46","startHours":22.32924378303233,"endHours":23.77005835048262,"quality":"auspicious"},{"name":"Kāla","start":"23:46","end":"01:13","startHours":23.77005835048262,"endHours":25.21087291793291,"quality":"inauspicious"},{"name":"Śubha","start":"01:13","end":"02:39","startHours":25.21087291793291,"endHours":26.6516874853832,"quality":"auspicious"},{"name":"Roga","start":"02:39","end":"04:06","startHours":26.6516874853832,"endHours":28.092502052833492,"quality":"inauspicious"},{"name":"Udveg","start":"04:06","end":"05:32","startHours":28.092502052833492,"endHours":29.533316620283784,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.533316620283783,"endHours":6.533316620283783,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.533316620283783,"endHours":7.533316620283783,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.533316620283783,"endHours":8.533316620283783,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.533316620283783,"endHours":9.533316620283783,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.533316620283783,"endHours":10.533316620283783,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.533316620283783,"endHours":11.533316620283783,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.533316620283783,"endHours":12.533316620283783,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.533316620283783,"endHours":13.533316620283783,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.533316620283783,"endHours":14.533316620283783,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.533316620283783,"endHours":15.533316620283783,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.533316620283783,"endHours":16.533316620283784,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.533316620283784,"endHours":17.533316620283784,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.533316620283784,"endHours":18.533316620283784,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.533316620283784,"endHours":19.533316620283784,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.533316620283784,"endHours":20.533316620283784,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.533316620283784,"endHours":21.533316620283784,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.533316620283784,"endHours":22.533316620283784,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.533316620283784,"endHours":23.533316620283784,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.533316620283784,"endHours":24.533316620283784,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.533316620283784,"endHours":25.533316620283784,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.533316620283784,"endHours":26.533316620283784,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.533316620283784,"endHours":27.533316620283784,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.533316620283784,"endHours":28.533316620283784,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.533316620283784,"endHours":29.533316620283784,"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":6.085888523811059,"eotMinutes":2.5580989710426816,"ayanamsa":25.6646}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Navamī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"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":"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 7, 2129 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 7, 2129 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:32, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2129-09-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2129-09-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2129-09-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2129-09-07","x-default":"https://vidhyamitra.com/city/ranchi/2129-09-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:20:29.517Z","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":"2026-05-31T12:20:29.517Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:20:29.517Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}