{"id":"vidhyamitra:city-day:rishikesh:2007-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2007-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2007-04-20","date_display":"April 20, 2007 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":2007,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2454210.770833,"kali_year":5109,"ahargana":1865745.2708,"sun":{"sidereal_longitude":5.7361,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":40.0297,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.2935,"elapsed_within_tithi_degrees":10.2935},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.0297,"elapsed_within_degrees":0.0297},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.7658},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2007,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2454210.770833,"ahargana":1865745.2708,"kali_year":5109,"ayanamsa_lahiri":23.955,"grahas":{"sun":{"sidereal_longitude":5.64085799999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":41.722357999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.3697},"mars":{"sidereal_longitude":316.431058,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":351.607858,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":236.258058,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":45.21885800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":114.016458,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":323.837,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":143.837,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":2007,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2454210.770833,"kali_year":5109,"ahargana":1865745.2708,"sun":{"sidereal_longitude":5.7361,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":40.0297,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.2935,"elapsed_within_tithi_degrees":10.2935},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.0297,"elapsed_within_degrees":0.0297},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.7658},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.37,"elongation":34.294},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.37,"opposition_distance":145.706}},"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":"05:45","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.020641041028831,"dayLengthDisplay":"13 Hours 01 Mins 14 Secs","nightLengthDisplay":"10 Hours 58 Mins 46 Secs","moonriseLocal":"07:45","moonsetLocal":"21:35","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:16","startHours":10.638450478777383,"endHours":12.266030608905986,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:31","end":"17:09","startHours":15.521190869163194,"endHours":17.1487709992918,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:23","end":"09:01","startHours":7.383290218520174,"endHours":9.010870348648778,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:14","startHours":8.793859664631631,"endHours":9.227881032665925,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.298236798434438,"endHours":6.645453892861873,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.832009240871692,"endHours":12.70005197694028,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.019624616254393,"endHours":4.887667352322982,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.670656668305835,"endHours":5.75571008839157,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.436137449077457,"endHours":15.304180185146045,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.576351129420402,"endHours":18.9763511294204,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.7763511294204,"endHours":19.31887783946327,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.5263511294204,"endHours":20.2763511294204,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.83200924087169,"endHours":24.70005197694028,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:45","end":"07:23","startHours":5.75571008839157,"endHours":7.383290218520174,"quality":"neutral"},{"name":"Labha","start":"07:23","end":"09:01","startHours":7.383290218520174,"endHours":9.010870348648778,"quality":"auspicious"},{"name":"Amṛta","start":"09:01","end":"10:38","startHours":9.010870348648778,"endHours":10.638450478777383,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:16","startHours":10.638450478777383,"endHours":12.266030608905986,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.893610739034589,"quality":"auspicious"},{"name":"Roga","start":"13:54","end":"15:31","startHours":13.893610739034589,"endHours":15.521190869163194,"quality":"inauspicious"},{"name":"Udveg","start":"15:31","end":"17:09","startHours":15.521190869163194,"endHours":17.1487709992918,"quality":"inauspicious"},{"name":"Chala","start":"17:09","end":"18:47","startHours":17.1487709992918,"endHours":18.7763511294204,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:47","end":"20:09","startHours":18.7763511294204,"endHours":20.1487709992918,"quality":"inauspicious"},{"name":"Udveg","start":"20:09","end":"21:31","startHours":20.1487709992918,"endHours":21.521190869163192,"quality":"inauspicious"},{"name":"Chala","start":"21:31","end":"22:54","startHours":21.521190869163192,"endHours":22.89361073903459,"quality":"neutral"},{"name":"Labha","start":"22:54","end":"00:16","startHours":22.89361073903459,"endHours":24.266030608905986,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.638450478777383,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:01","startHours":25.638450478777383,"endHours":27.01087034864878,"quality":"inauspicious"},{"name":"Śubha","start":"03:01","end":"04:23","startHours":27.01087034864878,"endHours":28.383290218520173,"quality":"auspicious"},{"name":"Roga","start":"04:23","end":"05:45","startHours":28.383290218520173,"endHours":29.75571008839157,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.75571008839157,"endHours":6.75571008839157,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.75571008839157,"endHours":7.75571008839157,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.75571008839157,"endHours":8.75571008839157,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.75571008839157,"endHours":9.75571008839157,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.75571008839157,"endHours":10.75571008839157,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.75571008839157,"endHours":11.75571008839157,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.75571008839157,"endHours":12.75571008839157,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.75571008839157,"endHours":13.75571008839157,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.75571008839157,"endHours":14.75571008839157,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.75571008839157,"endHours":15.75571008839157,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.75571008839157,"endHours":16.75571008839157,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.75571008839157,"endHours":17.75571008839157,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.75571008839157,"endHours":18.75571008839157,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.75571008839157,"endHours":19.75571008839157,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.75571008839157,"endHours":20.75571008839157,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.75571008839157,"endHours":21.75571008839157,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.75571008839157,"endHours":22.75571008839157,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.75571008839157,"endHours":23.75571008839157,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.75571008839157,"endHours":24.75571008839157,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.75571008839157,"endHours":25.75571008839157,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.75571008839157,"endHours":26.75571008839157,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.75571008839157,"endHours":27.75571008839157,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.75571008839157,"endHours":28.75571008839157,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.75571008839157,"endHours":29.75571008839157,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","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":11.328372452848615,"eotMinutes":0.9677634656409275,"ayanamsa":23.955}},"calendars":{"vikram_samvat":2064,"vikram_samvatsara":"Śārvarī","saka_samvat":1929,"saka_samvatsara":"Sarvajit","bengali_samvat":1414,"malayalam_era":1183,"nanakshahi_year":538,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Tṛtīyā · Vikram 2064 Śārvarī · Śaka 1929 Sarvajit"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"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":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]},{"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}],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 20, 2007 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 2007 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2007-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2007-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2007-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2007-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/2007-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T22:57:53.137Z","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":"2026-05-16T22:57:53.137Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T22:57:53.137Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}