{"id":"vidhyamitra:city-day:rishikesh:2048-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2048-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-09-12","date_display":"September 12, 2048 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":2048,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469331.770833,"kali_year":5150,"ahargana":1880866.2708,"sun":{"sidereal_longitude":144.5983,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":191.8828,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.2845,"elapsed_within_tithi_degrees":11.2845},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.8828,"elapsed_within_degrees":5.2161},"yoga":{"number":26,"name":"Indra","sum_longitude":336.4811},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2048,"month":9,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469331.770833,"ahargana":1880866.2708,"kali_year":5150,"ayanamsa_lahiri":24.5333,"grahas":{"sun":{"sidereal_longitude":145.436625,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":193.392925,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-3.4844},"mars":{"sidereal_longitude":241.679125,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":168.85142500000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":64.05712499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":173.19202500000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":254.02402500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":242.6536,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":62.6536,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2048,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469331.770833,"kali_year":5150,"ahargana":1880866.2708,"sun":{"sidereal_longitude":144.5983,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":191.8828,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.2845,"elapsed_within_tithi_degrees":11.2845},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.8828,"elapsed_within_degrees":5.2161},"yoga":{"number":26,"name":"Indra","sum_longitude":336.4811},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.484,"elongation":47.284},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.484,"opposition_distance":132.716}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:59","sunsetLocal":"18:26","solarNoonLocal":"12:13","dayLengthHours":12.436241564512912,"dayLengthDisplay":"12 Hours 26 Mins 10 Secs","nightLengthDisplay":"11 Hours 33 Mins 50 Secs","moonriseLocal":"09:55","moonsetLocal":"20:54","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:39","startHours":9.10004101640535,"endHours":10.654571211969461,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:46","end":"15:19","startHours":13.76363160309769,"endHours":15.318161798661805,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:59","end":"07:33","startHours":5.99098062527712,"endHours":7.545510820841234,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.892770323663466,"endHours":9.30731170914723,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:50","startHours":6.509157357131825,"endHours":6.840790465518836,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:37","startHours":11.794560022049813,"endHours":12.623642793017341,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:10","startHours":4.332815083342066,"endHours":5.161897854309593,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.954627161567711,"endHours":5.99098062527712,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.281808334952395,"endHours":15.110891105919922,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.227222189790034,"endHours":18.627222189790032,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.427222189790033,"endHours":18.94539892164474,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.177222189790033,"endHours":19.927222189790033,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:37","startHours":23.794560022049815,"endHours":24.62364279301734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:59","end":"07:33","startHours":5.99098062527712,"endHours":7.545510820841234,"quality":"inauspicious"},{"name":"Śubha","start":"07:33","end":"09:06","startHours":7.545510820841234,"endHours":9.10004101640535,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:39","startHours":9.10004101640535,"endHours":10.654571211969461,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:13","startHours":10.654571211969461,"endHours":12.209101407533577,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:46","startHours":12.209101407533577,"endHours":13.76363160309769,"quality":"neutral"},{"name":"Labha","start":"13:46","end":"15:19","startHours":13.76363160309769,"endHours":15.318161798661805,"quality":"auspicious"},{"name":"Amṛta","start":"15:19","end":"16:52","startHours":15.318161798661805,"endHours":16.872691994225917,"quality":"auspicious"},{"name":"Kāla","start":"16:52","end":"18:26","startHours":16.872691994225917,"endHours":18.427222189790033,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:26","end":"19:52","startHours":18.427222189790033,"endHours":19.872691994225917,"quality":"auspicious"},{"name":"Amṛta","start":"19:52","end":"21:19","startHours":19.872691994225917,"endHours":21.318161798661805,"quality":"auspicious"},{"name":"Kāla","start":"21:19","end":"22:46","startHours":21.318161798661805,"endHours":22.763631603097693,"quality":"inauspicious"},{"name":"Śubha","start":"22:46","end":"00:13","startHours":22.763631603097693,"endHours":24.209101407533577,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:39","startHours":24.209101407533577,"endHours":25.65457121196946,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:06","startHours":25.65457121196946,"endHours":27.10004101640535,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:33","startHours":27.10004101640535,"endHours":28.545510820841237,"quality":"neutral"},{"name":"Labha","start":"04:33","end":"05:59","startHours":28.545510820841237,"endHours":29.99098062527712,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.99098062527712,"endHours":6.99098062527712,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.99098062527712,"endHours":7.99098062527712,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.99098062527712,"endHours":8.990980625277121,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.990980625277121,"endHours":9.990980625277121,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.990980625277121,"endHours":10.990980625277121,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.990980625277121,"endHours":11.990980625277121,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.990980625277121,"endHours":12.990980625277121,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.990980625277121,"endHours":13.990980625277121,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.990980625277121,"endHours":14.990980625277121,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.990980625277121,"endHours":15.990980625277121,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.990980625277121,"endHours":16.99098062527712,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.99098062527712,"endHours":17.99098062527712,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.99098062527712,"endHours":18.99098062527712,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.99098062527712,"endHours":19.99098062527712,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.99098062527712,"endHours":20.99098062527712,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.99098062527712,"endHours":21.99098062527712,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.99098062527712,"endHours":22.99098062527712,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.99098062527712,"endHours":23.99098062527712,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.99098062527712,"endHours":24.99098062527712,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.99098062527712,"endHours":25.99098062527712,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.99098062527712,"endHours":26.99098062527712,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.99098062527712,"endHours":27.99098062527712,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.99098062527712,"endHours":28.99098062527712,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.99098062527712,"endHours":29.99098062527712,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Chatra","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":3.9721231962195747,"eotMinutes":4.383515547985428,"ayanamsa":24.5333}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 12, 2048 CE · Ṛṣikeśa · Vidhyamitra","description":"September 12, 2048 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 05:59, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2048-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2048-09-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2048-09-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2048-09-12","x-default":"https://vidhyamitra.com/city/rishikesh/2048-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:19:55.104Z","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":"2026-06-01T08:19:55.104Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:19:55.104Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}