{"id":"vidhyamitra:city-day:ranchi:2075-09-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2075-09-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-09-07","date_display":"September 7, 2075 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":2075,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479187.770833,"kali_year":5177,"ahargana":1890722.2708,"sun":{"sidereal_longitude":138.8005,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":98.8589,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.0584,"elapsed_within_tithi_degrees":8.0584},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.8589,"elapsed_within_degrees":5.5256},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.6594},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2075,"month":9,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479187.770833,"ahargana":1890722.2708,"kali_year":5177,"ayanamsa_lahiri":24.9102,"grahas":{"sun":{"sidereal_longitude":139.68715299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":100.72625299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":1.4209},"mars":{"sidereal_longitude":93.23195299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":156.60335299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":146.44455299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":149.47065299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":226.57625299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":80.4353,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.4353,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":2075,"month":9,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479187.770833,"kali_year":5177,"ahargana":1890722.2708,"sun":{"sidereal_longitude":138.8005,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":98.8589,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.0584,"elapsed_within_tithi_degrees":8.0584},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.8589,"elapsed_within_degrees":5.5256},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.6594},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.421,"elongation":39.942},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.421,"opposition_distance":140.058}},"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":12.472197900883778,"dayLengthDisplay":"12 Hours 28 Mins 20 Secs","nightLengthDisplay":"11 Hours 31 Mins 40 Secs","moonriseLocal":"02:34","moonsetLocal":"15:47","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:13","startHours":8.652008875261679,"endHours":10.21103361287215,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:20","end":"14:53","startHours":13.329083088093094,"endHours":14.888107825703567,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:32","end":"07:06","startHours":5.533959400040733,"endHours":7.0929841376512055,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.444138910246949,"endHours":8.859878840276407,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:23","startHours":6.053634312577557,"endHours":6.386226256601125,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:11","startHours":11.354318420453161,"endHours":12.185798280512081,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:42","startHours":3.870999679922896,"endHours":4.702479539981815,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:32","startHours":4.494609574967085,"endHours":5.533959400040733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:41","startHours":13.848758000629918,"endHours":14.680237860688836,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.80615730092451,"endHours":18.20615730092451,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:32","startHours":18.00615730092451,"endHours":18.525832213461335,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.75615730092451,"endHours":19.50615730092451,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:11","startHours":23.35431842045316,"endHours":24.18579828051208,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:32","end":"07:06","startHours":5.533959400040733,"endHours":7.0929841376512055,"quality":"inauspicious"},{"name":"Śubha","start":"07:06","end":"08:39","startHours":7.0929841376512055,"endHours":8.652008875261679,"quality":"auspicious"},{"name":"Roga","start":"08:39","end":"10:13","startHours":8.652008875261679,"endHours":10.21103361287215,"quality":"inauspicious"},{"name":"Udveg","start":"10:13","end":"11:46","startHours":10.21103361287215,"endHours":11.770058350482621,"quality":"inauspicious"},{"name":"Chala","start":"11:46","end":"13:20","startHours":11.770058350482621,"endHours":13.329083088093094,"quality":"neutral"},{"name":"Labha","start":"13:20","end":"14:53","startHours":13.329083088093094,"endHours":14.888107825703567,"quality":"auspicious"},{"name":"Amṛta","start":"14:53","end":"16:27","startHours":14.888107825703567,"endHours":16.44713256331404,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"18:00","startHours":16.44713256331404,"endHours":18.00615730092451,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:00","end":"19:27","startHours":18.00615730092451,"endHours":19.44713256331404,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"20:53","startHours":19.44713256331404,"endHours":20.888107825703564,"quality":"auspicious"},{"name":"Kāla","start":"20:53","end":"22:20","startHours":20.888107825703564,"endHours":22.329083088093093,"quality":"inauspicious"},{"name":"Śubha","start":"22:20","end":"23:46","startHours":22.329083088093093,"endHours":23.77005835048262,"quality":"auspicious"},{"name":"Roga","start":"23:46","end":"01:13","startHours":23.77005835048262,"endHours":25.21103361287215,"quality":"inauspicious"},{"name":"Udveg","start":"01:13","end":"02:39","startHours":25.21103361287215,"endHours":26.65200887526168,"quality":"inauspicious"},{"name":"Chala","start":"02:39","end":"04:06","startHours":26.65200887526168,"endHours":28.092984137651204,"quality":"neutral"},{"name":"Labha","start":"04:06","end":"05:32","startHours":28.092984137651204,"endHours":29.533959400040732,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.533959400040733,"endHours":6.533959400040733,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.533959400040733,"endHours":7.533959400040733,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.533959400040733,"endHours":8.533959400040732,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.533959400040732,"endHours":9.533959400040732,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.533959400040732,"endHours":10.533959400040732,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.533959400040732,"endHours":11.533959400040732,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.533959400040732,"endHours":12.533959400040732,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.533959400040732,"endHours":13.533959400040732,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.533959400040732,"endHours":14.533959400040732,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.533959400040732,"endHours":15.533959400040732,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.533959400040732,"endHours":16.533959400040732,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.533959400040732,"endHours":17.533959400040732,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.533959400040732,"endHours":18.533959400040732,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.533959400040732,"endHours":19.533959400040732,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.533959400040732,"endHours":20.533959400040732,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.533959400040732,"endHours":21.533959400040732,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.533959400040732,"endHours":22.533959400040732,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.533959400040732,"endHours":23.533959400040732,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.533959400040732,"endHours":24.533959400040732,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.533959400040732,"endHours":25.533959400040732,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.533959400040732,"endHours":26.533959400040732,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.533959400040732,"endHours":27.533959400040732,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.533959400040732,"endHours":28.533959400040732,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.533959400040732,"endHours":29.533959400040732,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","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":6.063925884392945,"eotMinutes":2.5580989710426816,"ayanamsa":24.9102}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 Dvādaśī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2075 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 7, 2075 CE for Ranchi, Jharkhand: Kṛṣṇa Dvādaśī, sūryodaya 05:32, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2075-09-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2075-09-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2075-09-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2075-09-07","x-default":"https://vidhyamitra.com/city/ranchi/2075-09-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T05:44:31.430Z","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":"2026-06-01T05:44:31.430Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T05:44:31.430Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}