{"id":"vidhyamitra:city-day:rishikesh:2103-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2103-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-04-16","date_display":"April 16, 2103 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":2103,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489269.770833,"kali_year":5204,"ahargana":1900804.2708,"sun":{"sidereal_longitude":0.044,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":106.8426,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.7986,"elapsed_within_tithi_degrees":10.7986},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8426,"elapsed_within_degrees":0.176},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.8867},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2103,"month":4,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489269.770833,"ahargana":1900804.2708,"kali_year":5204,"ayanamsa_lahiri":25.2958,"grahas":{"sun":{"sidereal_longitude":0.15144700000001876,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":108.30644699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-1.5819},"mars":{"sidereal_longitude":322.09534699999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":352.424847,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":269.893547,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":42.24834699999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":214.628147,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":266.2424,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":86.2424,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":2103,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489269.770833,"kali_year":5204,"ahargana":1900804.2708,"sun":{"sidereal_longitude":0.044,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":106.8426,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.7986,"elapsed_within_tithi_degrees":10.7986},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8426,"elapsed_within_degrees":0.176},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.8867},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.582,"elongation":106.799},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.582,"opposition_distance":73.201}},"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":"05:50","sunsetLocal":"18:44","solarNoonLocal":"12:17","dayLengthHours":12.900056857255318,"dayLengthDisplay":"12 Hours 54 Mins 00 Secs","nightLengthDisplay":"11 Hours 06 Mins 00 Secs","moonriseLocal":"12:47","moonsetLocal":"02:13","rahuKala":{"name":"Rāhu Kāla","start":"07:27","end":"09:03","startHours":7.444383826585948,"endHours":9.056890933742864,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"12:17","startHours":10.669398040899779,"endHours":12.281905148056694,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:30","startHours":13.89441225521361,"endHours":15.506919362370521,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.841889986121942,"endHours":9.271891881363786,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.369379088481339,"endHours":6.713380604674814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.851903252814848,"endHours":12.711907043298536,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:58","startHours":4.111869138461659,"endHours":4.971872928945346,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.756871981324424,"endHours":5.831876719429034,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.431914624265914,"endHours":15.291918414749603,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.531933576684352,"endHours":18.93193357668435,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:16","startHours":18.73193357668435,"endHours":19.269435945736657,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.48193357668435,"endHours":20.23193357668435,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.85190325281485,"endHours":24.711907043298538,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:50","end":"07:27","startHours":5.831876719429034,"endHours":7.444383826585948,"quality":"auspicious"},{"name":"Kāla","start":"07:27","end":"09:03","startHours":7.444383826585948,"endHours":9.056890933742864,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:40","startHours":9.056890933742864,"endHours":10.669398040899779,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"12:17","startHours":10.669398040899779,"endHours":12.281905148056694,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:54","startHours":12.281905148056694,"endHours":13.89441225521361,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:30","startHours":13.89441225521361,"endHours":15.506919362370521,"quality":"neutral"},{"name":"Labha","start":"15:30","end":"17:07","startHours":15.506919362370521,"endHours":17.119426469527436,"quality":"auspicious"},{"name":"Amṛta","start":"17:07","end":"18:44","startHours":17.119426469527436,"endHours":18.73193357668435,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:44","end":"20:07","startHours":18.73193357668435,"endHours":20.119426469527436,"quality":"neutral"},{"name":"Labha","start":"20:07","end":"21:30","startHours":20.119426469527436,"endHours":21.50691936237052,"quality":"auspicious"},{"name":"Amṛta","start":"21:30","end":"22:54","startHours":21.50691936237052,"endHours":22.89441225521361,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:17","startHours":22.89441225521361,"endHours":24.281905148056694,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:40","startHours":24.281905148056694,"endHours":25.66939804089978,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"03:03","startHours":25.66939804089978,"endHours":27.056890933742864,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:27","startHours":27.056890933742864,"endHours":28.44438382658595,"quality":"inauspicious"},{"name":"Chala","start":"04:27","end":"05:50","startHours":28.44438382658595,"endHours":29.831876719429033,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.831876719429034,"endHours":6.831876719429034,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.831876719429034,"endHours":7.831876719429034,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.831876719429034,"endHours":8.831876719429033,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.831876719429033,"endHours":9.831876719429033,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.831876719429033,"endHours":10.831876719429033,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.831876719429033,"endHours":11.831876719429033,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.831876719429033,"endHours":12.831876719429033,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.831876719429033,"endHours":13.831876719429033,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.831876719429033,"endHours":14.831876719429033,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.831876719429033,"endHours":15.831876719429033,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.831876719429033,"endHours":16.831876719429033,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.831876719429033,"endHours":17.831876719429033,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.831876719429033,"endHours":18.831876719429033,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.831876719429033,"endHours":19.831876719429033,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.831876719429033,"endHours":20.831876719429033,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.831876719429033,"endHours":21.831876719429033,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.831876719429033,"endHours":22.831876719429033,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.831876719429033,"endHours":23.831876719429033,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.831876719429033,"endHours":24.831876719429033,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.831876719429033,"endHours":25.831876719429033,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.831876719429033,"endHours":26.831876719429033,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.831876719429033,"endHours":27.831876719429033,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.831876719429033,"endHours":28.831876719429033,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.831876719429033,"endHours":29.831876719429033,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.840013887625743,"eotMinutes":0.015291116598477705,"ayanamsa":25.2958}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Navamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"sita-navami","name":"Sītā Navamī","name_sanskrit":"सीता नवमी","tradition":"Vaishnava","associated_deity":"Sītā Devī (Lakṣmī as Bhū-suta)","significance":"Devī Sītā's manifestation in Mithilā; rāmāvatāra-kalatra.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 66"]},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"madhva-jayanti","name":"Madhvācārya Jayantī","name_sanskrit":"मध्वाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Madhvācārya (Dvaita)","significance":"Birth of Madhvācārya; Dvaita-pratiṣṭhāpaka. Vaiśākha Śukla 9.","vrata":false,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 April 16, 2103 CE · Ṛṣikeśa · Vidhyamitra","description":"April 16, 2103 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:50, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2103-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2103-04-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2103-04-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2103-04-16","x-default":"https://vidhyamitra.com/city/rishikesh/2103-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T16:41:51.630Z","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":"2026-05-21T16:41:51.630Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T16:41:51.630Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}