{"id":"vidhyamitra:city-day:ranchi:2045-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-01","date_display":"September 1, 2045 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":2045,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468224.770833,"kali_year":5147,"ahargana":1879759.2708,"sun":{"sidereal_longitude":133.7454,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":6.7626,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.0172,"elapsed_within_tithi_degrees":5.0172},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7626,"elapsed_within_degrees":6.7626},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.5081},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2045,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468224.770833,"ahargana":1879759.2708,"kali_year":5147,"ayanamsa_lahiri":24.4909,"grahas":{"sun":{"sidereal_longitude":134.54182000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":4.076619999999991,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":4.0926},"mars":{"sidereal_longitude":100.57632000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":126.35072000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":312.73692000000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":174.97152000000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.20421999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.3078,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.3078,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468224.770833,"kali_year":5147,"ahargana":1879759.2708,"sun":{"sidereal_longitude":133.7454,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":6.7626,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.0172,"elapsed_within_tithi_degrees":5.0172},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7626,"elapsed_within_degrees":6.7626},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.5081},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.093,"elongation":126.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.093,"opposition_distance":53.017}},"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":"05:30","sunsetLocal":"18:06","solarNoonLocal":"11:48","dayLengthHours":12.596883884746067,"dayLengthDisplay":"12 Hours 35 Mins 49 Secs","nightLengthDisplay":"11 Hours 24 Mins 11 Secs","moonriseLocal":"20:45","moonsetLocal":"09:28","rahuKala":{"name":"Rāhu Kāla","start":"10:14","end":"11:48","startHours":10.23014921755552,"endHours":11.804759703148777,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:57","end":"16:32","startHours":14.953980674335295,"endHours":16.528591159928553,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:05","end":"08:39","startHours":7.080928246369002,"endHours":8.65553873196226,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.445590667216493,"endHours":8.865486796708028,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:22","startHours":6.0311879226401635,"endHours":6.367104826233392,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:23","end":"12:13","startHours":11.384863573657242,"endHours":12.224655832640313,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:40","startHours":3.8267332428096017,"endHours":4.666525501792673,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:30","startHours":4.456577437046905,"endHours":5.506317760775744,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:45","startHours":13.904240350606454,"endHours":14.744032609589524,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.90320164552181,"endHours":18.30320164552181,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:38","startHours":18.10320164552181,"endHours":18.62807180738623,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.85320164552181,"endHours":19.60320164552181,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:23","end":"00:13","startHours":23.38486357365724,"endHours":24.224655832640313,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:30","end":"07:05","startHours":5.506317760775744,"endHours":7.080928246369002,"quality":"neutral"},{"name":"Labha","start":"07:05","end":"08:39","startHours":7.080928246369002,"endHours":8.65553873196226,"quality":"auspicious"},{"name":"Amṛta","start":"08:39","end":"10:14","startHours":8.65553873196226,"endHours":10.23014921755552,"quality":"auspicious"},{"name":"Kāla","start":"10:14","end":"11:48","startHours":10.23014921755552,"endHours":11.804759703148777,"quality":"inauspicious"},{"name":"Śubha","start":"11:48","end":"13:23","startHours":11.804759703148777,"endHours":13.379370188742035,"quality":"auspicious"},{"name":"Roga","start":"13:23","end":"14:57","startHours":13.379370188742035,"endHours":14.953980674335295,"quality":"inauspicious"},{"name":"Udveg","start":"14:57","end":"16:32","startHours":14.953980674335295,"endHours":16.528591159928553,"quality":"inauspicious"},{"name":"Chala","start":"16:32","end":"18:06","startHours":16.528591159928553,"endHours":18.10320164552181,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:06","end":"19:32","startHours":18.10320164552181,"endHours":19.528591159928553,"quality":"inauspicious"},{"name":"Udveg","start":"19:32","end":"20:57","startHours":19.528591159928553,"endHours":20.953980674335295,"quality":"inauspicious"},{"name":"Chala","start":"20:57","end":"22:23","startHours":20.953980674335295,"endHours":22.379370188742037,"quality":"neutral"},{"name":"Labha","start":"22:23","end":"23:48","startHours":22.379370188742037,"endHours":23.804759703148775,"quality":"auspicious"},{"name":"Amṛta","start":"23:48","end":"01:14","startHours":23.804759703148775,"endHours":25.23014921755552,"quality":"auspicious"},{"name":"Kāla","start":"01:14","end":"02:39","startHours":25.23014921755552,"endHours":26.65553873196226,"quality":"inauspicious"},{"name":"Śubha","start":"02:39","end":"04:05","startHours":26.65553873196226,"endHours":28.080928246369,"quality":"auspicious"},{"name":"Roga","start":"04:05","end":"05:30","startHours":28.080928246369,"endHours":29.506317760775744,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.506317760775744,"endHours":6.506317760775744,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.506317760775744,"endHours":7.506317760775744,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.506317760775744,"endHours":8.506317760775744,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.506317760775744,"endHours":9.506317760775744,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.506317760775744,"endHours":10.506317760775744,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.506317760775744,"endHours":11.506317760775744,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.506317760775744,"endHours":12.506317760775744,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.506317760775744,"endHours":13.506317760775744,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.506317760775744,"endHours":14.506317760775744,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.506317760775744,"endHours":15.506317760775744,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.506317760775744,"endHours":16.506317760775744,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.506317760775744,"endHours":17.506317760775744,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.506317760775744,"endHours":18.506317760775744,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.506317760775744,"endHours":19.506317760775744,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.506317760775744,"endHours":20.506317760775744,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.506317760775744,"endHours":21.506317760775744,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.506317760775744,"endHours":22.506317760775744,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.506317760775744,"endHours":23.506317760775744,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.506317760775744,"endHours":24.506317760775744,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.506317760775744,"endHours":25.506317760775744,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.506317760775744,"endHours":26.506317760775744,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.506317760775744,"endHours":27.506317760775744,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.506317760775744,"endHours":28.506317760775744,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.506317760775744,"endHours":29.506317760775744,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","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":8.1822614324137,"eotMinutes":0.47601781107335894,"ayanamsa":24.4909}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Pañcamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"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 1, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 1, 2045 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:30, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-09-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-09-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-09-01","x-default":"https://vidhyamitra.com/city/ranchi/2045-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:50:41.527Z","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":"2026-06-01T20:50:41.527Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:50:41.527Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}