{"id":"vidhyamitra:city-day:rishikesh:2054-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2054-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2054-03-13","date_display":"March 13, 2054 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":2054,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471339.770833,"kali_year":5155,"ahargana":1882874.2708,"sun":{"sidereal_longitude":328.1221,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":10.3884,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.2663,"elapsed_within_tithi_degrees":6.2663},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.3884,"elapsed_within_degrees":10.3884},"yoga":{"number":26,"name":"Indra","sum_longitude":338.5105},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2054,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2471339.770833,"ahargana":1882874.2708,"kali_year":5155,"ayanamsa_lahiri":24.6101,"grahas":{"sun":{"sidereal_longitude":328.072805,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":8.297705000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-3.6452},"mars":{"sidereal_longitude":283.736905,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":301.526205,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":221.137605,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":280.651705,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":322.753205,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":136.2601,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":316.2601,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2054,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471339.770833,"kali_year":5155,"ahargana":1882874.2708,"sun":{"sidereal_longitude":328.1221,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":10.3884,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.2663,"elapsed_within_tithi_degrees":6.2663},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.3884,"elapsed_within_degrees":10.3884},"yoga":{"number":26,"name":"Indra","sum_longitude":338.5105},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.645,"elongation":42.266},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.645,"opposition_distance":137.734}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-0.859,"opposition_distance":2.771}]},"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":"06:30","sunsetLocal":"18:24","solarNoonLocal":"12:27","dayLengthHours":11.9040253819243,"dayLengthDisplay":"11 Hours 54 Mins 14 Secs","nightLengthDisplay":"12 Hours 05 Mins 46 Secs","moonriseLocal":"08:36","moonsetLocal":"21:40","rahuKala":{"name":"Rāhu Kāla","start":"10:58","end":"12:27","startHours":10.96445549273961,"endHours":12.452458665480147,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:26","end":"16:55","startHours":15.428465010961222,"endHours":16.91646818370176,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:59","end":"09:29","startHours":7.988449147258536,"endHours":9.476452319999073,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:40","startHours":9.278051896967002,"endHours":9.674852743031146,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:19","startHours":6.996447032098178,"endHours":7.313887708949493,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.055657819416004,"endHours":12.849259511544291,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:42","startHours":4.913242590261426,"endHours":5.706844282389712,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:30","startHours":5.508443859357641,"endHours":6.500445974517999,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.436462895800865,"endHours":15.230064587929151,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.204471356442298,"endHours":18.604471356442296,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:54","startHours":18.404471356442297,"endHours":18.900472414022477,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.154471356442297,"endHours":19.904471356442297,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.055657819416005,"endHours":24.84925951154429,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:30","end":"07:59","startHours":6.500445974517999,"endHours":7.988449147258536,"quality":"neutral"},{"name":"Labha","start":"07:59","end":"09:29","startHours":7.988449147258536,"endHours":9.476452319999073,"quality":"auspicious"},{"name":"Amṛta","start":"09:29","end":"10:58","startHours":9.476452319999073,"endHours":10.96445549273961,"quality":"auspicious"},{"name":"Kāla","start":"10:58","end":"12:27","startHours":10.96445549273961,"endHours":12.452458665480147,"quality":"inauspicious"},{"name":"Śubha","start":"12:27","end":"13:56","startHours":12.452458665480147,"endHours":13.940461838220685,"quality":"auspicious"},{"name":"Roga","start":"13:56","end":"15:26","startHours":13.940461838220685,"endHours":15.428465010961222,"quality":"inauspicious"},{"name":"Udveg","start":"15:26","end":"16:55","startHours":15.428465010961222,"endHours":16.91646818370176,"quality":"inauspicious"},{"name":"Chala","start":"16:55","end":"18:24","startHours":16.91646818370176,"endHours":18.404471356442297,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:24","end":"19:55","startHours":18.404471356442297,"endHours":19.91646818370176,"quality":"inauspicious"},{"name":"Udveg","start":"19:55","end":"21:26","startHours":19.91646818370176,"endHours":21.428465010961222,"quality":"inauspicious"},{"name":"Chala","start":"21:26","end":"22:56","startHours":21.428465010961222,"endHours":22.940461838220685,"quality":"neutral"},{"name":"Labha","start":"22:56","end":"00:27","startHours":22.940461838220685,"endHours":24.452458665480147,"quality":"auspicious"},{"name":"Amṛta","start":"00:27","end":"01:58","startHours":24.452458665480147,"endHours":25.96445549273961,"quality":"auspicious"},{"name":"Kāla","start":"01:58","end":"03:29","startHours":25.96445549273961,"endHours":27.476452319999073,"quality":"inauspicious"},{"name":"Śubha","start":"03:29","end":"04:59","startHours":27.476452319999073,"endHours":28.988449147258535,"quality":"auspicious"},{"name":"Roga","start":"04:59","end":"06:30","startHours":28.988449147258535,"endHours":30.500445974517998,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.500445974517999,"endHours":7.500445974517999,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.500445974517999,"endHours":8.500445974517998,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.500445974517998,"endHours":9.500445974517998,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.500445974517998,"endHours":10.500445974517998,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.500445974517998,"endHours":11.500445974517998,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.500445974517998,"endHours":12.500445974517998,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.500445974517998,"endHours":13.500445974517998,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.500445974517998,"endHours":14.500445974517998,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.500445974517998,"endHours":15.500445974517998,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.500445974517998,"endHours":16.500445974517998,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.500445974517998,"endHours":17.500445974517998,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.500445974517998,"endHours":18.500445974517998,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.500445974517998,"endHours":19.500445974517998,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.500445974517998,"endHours":20.500445974517998,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.500445974517998,"endHours":21.500445974517998,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.500445974517998,"endHours":22.500445974517998,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.500445974517998,"endHours":23.500445974517998,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.500445974517998,"endHours":24.500445974517998,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.500445974517998,"endHours":25.500445974517998,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.500445974517998,"endHours":26.500445974517998,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.500445974517998,"endHours":27.500445974517998,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.500445974517998,"endHours":28.500445974517998,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.500445974517998,"endHours":29.500445974517998,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.500445974517998,"endHours":30.500445974517998,"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":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.903584686583025,"eotMinutes":-10.217919928808794,"ayanamsa":24.6101}},"calendars":{"vikram_samvat":2111,"vikram_samvatsara":"Sarvajit","saka_samvat":1976,"saka_samvatsara":"Bhāva","bengali_samvat":1461,"malayalam_era":1230,"nanakshahi_year":585,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Caturthī · Vikram 2111 Sarvajit · Śaka 1976 Bhāva"},"festivals":[{"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":"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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 13, 2054 CE · Ṛṣikeśa · Vidhyamitra","description":"March 13, 2054 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:30, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2054-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2054-03-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2054-03-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2054-03-13","x-default":"https://vidhyamitra.com/city/rishikesh/2054-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:21:54.245Z","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":"2026-05-31T13:21:54.245Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:21:54.245Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}