{"id":"vidhyamitra:city-day:rishikesh:2126-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2126-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-09-04","date_display":"September 4, 2126 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":2126,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497811.770833,"kali_year":5228,"ahargana":1909346.2708,"sun":{"sidereal_longitude":134.7487,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":341.9051,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.1564,"elapsed_within_tithi_degrees":3.1564},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.9051,"elapsed_within_degrees":8.5718},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.6538},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2126,"month":9,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497811.770833,"ahargana":1909346.2708,"kali_year":5228,"ayanamsa_lahiri":25.6225,"grahas":{"sun":{"sidereal_longitude":135.74598000000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":339.86378,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":0.9148},"mars":{"sidereal_longitude":113.25347999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":156.44018000000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":237.50108,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":128.83638000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":139.21658000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":173.6462,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":353.6462,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2126,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497811.770833,"kali_year":5228,"ahargana":1909346.2708,"sun":{"sidereal_longitude":134.7487,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":341.9051,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.1564,"elapsed_within_tithi_degrees":3.1564},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":341.9051,"elapsed_within_degrees":8.5718},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.6538},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.915,"elongation":152.844},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.915,"opposition_distance":27.156}},"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":"05:55","sunsetLocal":"18:36","solarNoonLocal":"12:15","dayLengthHours":12.697384181965587,"dayLengthDisplay":"12 Hours 41 Mins 51 Secs","nightLengthDisplay":"11 Hours 18 Mins 09 Secs","moonriseLocal":"19:44","moonsetLocal":"08:00","rahuKala":{"name":"Rāhu Kāla","start":"12:15","end":"13:51","startHours":12.257196065045733,"endHours":13.844369087791431,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:30","end":"09:05","startHours":7.495676996808639,"endHours":9.082850019554337,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:40","end":"12:15","startHours":10.670023042300034,"endHours":12.257196065045733,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.871226949854911,"endHours":9.294473089253763,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:47","startHours":6.437561648311506,"endHours":6.776158559830589,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:41","startHours":11.83394992564688,"endHours":12.680442204444585,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:04","startHours":4.2155194164675285,"endHours":5.062011695265234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:55","startHours":4.850388625565808,"endHours":5.90850397406294,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:13","startHours":14.37342676204,"endHours":15.219919040837706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.405888156028528,"endHours":18.805888156028526,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:08","startHours":18.605888156028527,"endHours":19.134945830277093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.355888156028527,"endHours":20.105888156028527,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:41","startHours":23.83394992564688,"endHours":24.680442204444585,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:55","end":"07:30","startHours":5.90850397406294,"endHours":7.495676996808639,"quality":"auspicious"},{"name":"Amṛta","start":"07:30","end":"09:05","startHours":7.495676996808639,"endHours":9.082850019554337,"quality":"auspicious"},{"name":"Kāla","start":"09:05","end":"10:40","startHours":9.082850019554337,"endHours":10.670023042300034,"quality":"inauspicious"},{"name":"Śubha","start":"10:40","end":"12:15","startHours":10.670023042300034,"endHours":12.257196065045733,"quality":"auspicious"},{"name":"Roga","start":"12:15","end":"13:51","startHours":12.257196065045733,"endHours":13.844369087791431,"quality":"inauspicious"},{"name":"Udveg","start":"13:51","end":"15:26","startHours":13.844369087791431,"endHours":15.43154211053713,"quality":"inauspicious"},{"name":"Chala","start":"15:26","end":"17:01","startHours":15.43154211053713,"endHours":17.01871513328283,"quality":"neutral"},{"name":"Labha","start":"17:01","end":"18:36","startHours":17.01871513328283,"endHours":18.605888156028527,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:01","startHours":18.605888156028527,"endHours":20.01871513328283,"quality":"inauspicious"},{"name":"Chala","start":"20:01","end":"21:26","startHours":20.01871513328283,"endHours":21.43154211053713,"quality":"neutral"},{"name":"Labha","start":"21:26","end":"22:51","startHours":21.43154211053713,"endHours":22.84436908779143,"quality":"auspicious"},{"name":"Amṛta","start":"22:51","end":"00:15","startHours":22.84436908779143,"endHours":24.257196065045733,"quality":"auspicious"},{"name":"Kāla","start":"00:15","end":"01:40","startHours":24.257196065045733,"endHours":25.670023042300034,"quality":"inauspicious"},{"name":"Śubha","start":"01:40","end":"03:05","startHours":25.670023042300034,"endHours":27.082850019554336,"quality":"auspicious"},{"name":"Roga","start":"03:05","end":"04:30","startHours":27.082850019554336,"endHours":28.49567699680864,"quality":"inauspicious"},{"name":"Udveg","start":"04:30","end":"05:55","startHours":28.49567699680864,"endHours":29.90850397406294,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.90850397406294,"endHours":6.90850397406294,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.90850397406294,"endHours":7.90850397406294,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.90850397406294,"endHours":8.90850397406294,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.90850397406294,"endHours":9.90850397406294,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.90850397406294,"endHours":10.90850397406294,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.90850397406294,"endHours":11.90850397406294,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.90850397406294,"endHours":12.90850397406294,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.90850397406294,"endHours":13.90850397406294,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.90850397406294,"endHours":14.90850397406294,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.90850397406294,"endHours":15.90850397406294,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.90850397406294,"endHours":16.90850397406294,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.90850397406294,"endHours":17.90850397406294,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.90850397406294,"endHours":18.90850397406294,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.90850397406294,"endHours":19.90850397406294,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.90850397406294,"endHours":20.90850397406294,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.90850397406294,"endHours":21.90850397406294,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.90850397406294,"endHours":22.90850397406294,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.90850397406294,"endHours":23.90850397406294,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.90850397406294,"endHours":24.90850397406294,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.90850397406294,"endHours":25.90850397406294,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.90850397406294,"endHours":26.90850397406294,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.90850397406294,"endHours":27.90850397406294,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.90850397406294,"endHours":28.90850397406294,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.90850397406294,"endHours":29.90850397406294,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","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":7.300185913600817,"eotMinutes":1.4978360972560227,"ayanamsa":25.6225}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"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 Tṛtīyā · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"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":"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 4, 2126 CE · Ṛṣikeśa · Vidhyamitra","description":"September 4, 2126 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 05:55, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2126-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2126-09-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2126-09-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2126-09-04","x-default":"https://vidhyamitra.com/city/rishikesh/2126-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:49:48.638Z","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":"2026-05-30T22:49:48.638Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:49:48.638Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}