{"id":"vidhyamitra:city-day:ranchi:2159-09-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2159-09-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-09-06","date_display":"September 6, 2159 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":2159,"month":9,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509866.770833,"kali_year":5261,"ahargana":1921401.2708,"sun":{"sidereal_longitude":136.1582,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":58.1304,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.9722,"elapsed_within_tithi_degrees":5.9722},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.1304,"elapsed_within_degrees":4.797},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.2886},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2159,"month":9,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509866.770833,"ahargana":1921401.2708,"kali_year":5261,"ayanamsa_lahiri":26.0836,"grahas":{"sun":{"sidereal_longitude":137.24049000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":57.452290000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":1.2982},"mars":{"sidereal_longitude":244.86049000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":159.17289000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":168.01418999999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":89.31229000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":178.19389,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":254.9142,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.9142,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":9,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509866.770833,"kali_year":5261,"ahargana":1921401.2708,"sun":{"sidereal_longitude":136.1582,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":58.1304,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.9722,"elapsed_within_tithi_degrees":5.9722},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.1304,"elapsed_within_degrees":4.797},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.2886},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.298,"elongation":78.028},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.298,"opposition_distance":101.972}},"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":"18:02","solarNoonLocal":"11:47","dayLengthHours":12.500892777321233,"dayLengthDisplay":"12 Hours 30 Mins 03 Secs","nightLengthDisplay":"11 Hours 29 Mins 57 Secs","moonriseLocal":"23:42","moonsetLocal":"13:13","rahuKala":{"name":"Rāhu Kāla","start":"13:20","end":"14:54","startHours":13.338621468581145,"endHours":14.901233065746299,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:32","end":"07:05","startHours":5.5255634827553735,"endHours":7.088175079920528,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:13","startHours":8.650786677085682,"endHours":10.213398274250835,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.442438464130328,"endHours":8.859134890041036,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:23","startHours":6.046434015143758,"endHours":6.379791155872324,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:12","startHours":11.359313445505283,"endHours":12.192706297326698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:42","startHours":3.8587777791125424,"endHours":4.692170630933958,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:29","end":"05:32","startHours":4.483822417978605,"endHours":5.5255634827553735,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:42","startHours":13.859492000969528,"endHours":14.692884852790943,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.826456260076608,"endHours":18.226456260076606,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:33","startHours":18.026456260076607,"endHours":18.547326792464993,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.776456260076607,"endHours":19.526456260076607,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:12","startHours":23.359313445505283,"endHours":24.192706297326698,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:32","end":"07:05","startHours":5.5255634827553735,"endHours":7.088175079920528,"quality":"auspicious"},{"name":"Roga","start":"07:05","end":"08:39","startHours":7.088175079920528,"endHours":8.650786677085682,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:13","startHours":8.650786677085682,"endHours":10.213398274250835,"quality":"inauspicious"},{"name":"Chala","start":"10:13","end":"11:47","startHours":10.213398274250835,"endHours":11.77600987141599,"quality":"neutral"},{"name":"Labha","start":"11:47","end":"13:20","startHours":11.77600987141599,"endHours":13.338621468581145,"quality":"auspicious"},{"name":"Amṛta","start":"13:20","end":"14:54","startHours":13.338621468581145,"endHours":14.901233065746299,"quality":"auspicious"},{"name":"Kāla","start":"14:54","end":"16:28","startHours":14.901233065746299,"endHours":16.463844662911452,"quality":"inauspicious"},{"name":"Śubha","start":"16:28","end":"18:02","startHours":16.463844662911452,"endHours":18.026456260076607,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:02","end":"19:28","startHours":18.026456260076607,"endHours":19.463844662911452,"quality":"auspicious"},{"name":"Kāla","start":"19:28","end":"20:54","startHours":19.463844662911452,"endHours":20.901233065746297,"quality":"inauspicious"},{"name":"Śubha","start":"20:54","end":"22:20","startHours":20.901233065746297,"endHours":22.338621468581145,"quality":"auspicious"},{"name":"Roga","start":"22:20","end":"23:47","startHours":22.338621468581145,"endHours":23.77600987141599,"quality":"inauspicious"},{"name":"Udveg","start":"23:47","end":"01:13","startHours":23.77600987141599,"endHours":25.213398274250835,"quality":"inauspicious"},{"name":"Chala","start":"01:13","end":"02:39","startHours":25.213398274250835,"endHours":26.650786677085684,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:05","startHours":26.650786677085684,"endHours":28.08817507992053,"quality":"auspicious"},{"name":"Amṛta","start":"04:05","end":"05:32","startHours":28.08817507992053,"endHours":29.525563482755373,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.5255634827553735,"endHours":6.5255634827553735,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.5255634827553735,"endHours":7.5255634827553735,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.5255634827553735,"endHours":8.525563482755373,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.525563482755373,"endHours":9.525563482755373,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.525563482755373,"endHours":10.525563482755373,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.525563482755373,"endHours":11.525563482755373,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.525563482755373,"endHours":12.525563482755373,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.525563482755373,"endHours":13.525563482755373,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.525563482755373,"endHours":14.525563482755373,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.525563482755373,"endHours":15.525563482755373,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.525563482755373,"endHours":16.525563482755373,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.525563482755373,"endHours":17.525563482755373,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.525563482755373,"endHours":18.525563482755373,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.525563482755373,"endHours":19.525563482755373,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.525563482755373,"endHours":20.525563482755373,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.525563482755373,"endHours":21.525563482755373,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.525563482755373,"endHours":22.525563482755373,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.525563482755373,"endHours":23.525563482755373,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.525563482755373,"endHours":24.525563482755373,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.525563482755373,"endHours":25.525563482755373,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.525563482755373,"endHours":26.525563482755373,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.525563482755373,"endHours":27.525563482755373,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.525563482755373,"endHours":28.525563482755373,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.525563482755373,"endHours":29.525563482755373,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","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":6.553587098190041,"eotMinutes":2.2010077150405363,"ayanamsa":26.0836}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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 6, 2159 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 6, 2159 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:32, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2159-09-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2159-09-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2159-09-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2159-09-06","x-default":"https://vidhyamitra.com/city/ranchi/2159-09-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T17:06:21.605Z","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":"2026-05-29T17:06:21.605Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T17:06:21.605Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}