{"id":"vidhyamitra:city-day:rishikesh:2039-04-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-04-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-04-07","date_display":"April 7, 2039 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":2039,"month":4,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465885.770833,"kali_year":5140,"ahargana":1877420.2708,"sun":{"sidereal_longitude":352.7607,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":144.5843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.8235,"elapsed_within_tithi_degrees":7.8235},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.5843,"elapsed_within_degrees":11.2509},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.345},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2039,"month":4,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465885.770833,"ahargana":1877420.2708,"kali_year":5140,"ayanamsa_lahiri":24.4015,"grahas":{"sun":{"sidereal_longitude":352.696587,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":144.59578699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":4.4223},"mars":{"sidereal_longitude":309.631487,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":324.422187,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":116.280687,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":31.273086999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":149.222687,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":65.2393,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":245.2393,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2039,"month":4,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465885.770833,"kali_year":5140,"ahargana":1877420.2708,"sun":{"sidereal_longitude":352.7607,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":144.5843,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.8235,"elapsed_within_tithi_degrees":7.8235},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.5843,"elapsed_within_degrees":11.2509},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.345},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.422,"elongation":151.824},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.422,"opposition_distance":28.176}},"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":"06:00","sunsetLocal":"18:39","solarNoonLocal":"12:19","dayLengthHours":12.65117985906982,"dayLengthDisplay":"12 Hours 39 Mins 04 Secs","nightLengthDisplay":"11 Hours 20 Mins 56 Secs","moonriseLocal":"16:14","moonsetLocal":"04:40","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:29","startHours":13.905024358130945,"endHours":15.486421840514673,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:00","end":"07:35","startHours":5.998036946212307,"endHours":7.579434428596034,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:10","end":"10:45","startHours":9.160831910979763,"endHours":10.74222939336349,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:22","startHours":8.949978913328598,"endHours":9.371684908630925,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.525169440340216,"endHours":6.862534236582078,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.901920880444889,"endHours":12.745332871049543,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:09","startHours":4.311212965002998,"endHours":5.154624955607652,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:00","startHours":4.943771957956488,"endHours":5.998036946212307,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.432156852258853,"endHours":15.275568842863507,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.449216805282127,"endHours":18.849216805282126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:11","startHours":18.649216805282126,"endHours":19.176349299410035,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.399216805282126,"endHours":20.149216805282126,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.901920880444887,"endHours":24.745332871049545,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:00","end":"07:35","startHours":5.998036946212307,"endHours":7.579434428596034,"quality":"auspicious"},{"name":"Roga","start":"07:35","end":"09:10","startHours":7.579434428596034,"endHours":9.160831910979763,"quality":"inauspicious"},{"name":"Udveg","start":"09:10","end":"10:45","startHours":9.160831910979763,"endHours":10.74222939336349,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:19","startHours":10.74222939336349,"endHours":12.323626875747216,"quality":"neutral"},{"name":"Labha","start":"12:19","end":"13:54","startHours":12.323626875747216,"endHours":13.905024358130945,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:29","startHours":13.905024358130945,"endHours":15.486421840514673,"quality":"auspicious"},{"name":"Kāla","start":"15:29","end":"17:04","startHours":15.486421840514673,"endHours":17.067819322898398,"quality":"inauspicious"},{"name":"Śubha","start":"17:04","end":"18:39","startHours":17.067819322898398,"endHours":18.649216805282126,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:39","end":"20:04","startHours":18.649216805282126,"endHours":20.067819322898398,"quality":"auspicious"},{"name":"Kāla","start":"20:04","end":"21:29","startHours":20.067819322898398,"endHours":21.486421840514673,"quality":"inauspicious"},{"name":"Śubha","start":"21:29","end":"22:54","startHours":21.486421840514673,"endHours":22.905024358130945,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:19","startHours":22.905024358130945,"endHours":24.323626875747216,"quality":"inauspicious"},{"name":"Udveg","start":"00:19","end":"01:45","startHours":24.323626875747216,"endHours":25.742229393363488,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:10","startHours":25.742229393363488,"endHours":27.16083191097976,"quality":"neutral"},{"name":"Labha","start":"03:10","end":"04:35","startHours":27.16083191097976,"endHours":28.579434428596034,"quality":"auspicious"},{"name":"Amṛta","start":"04:35","end":"06:00","startHours":28.579434428596034,"endHours":29.998036946212306,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.998036946212307,"endHours":6.998036946212307,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.998036946212307,"endHours":7.998036946212307,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.998036946212307,"endHours":8.998036946212306,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.998036946212306,"endHours":9.998036946212306,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.998036946212306,"endHours":10.998036946212306,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.998036946212306,"endHours":11.998036946212306,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.998036946212306,"endHours":12.998036946212306,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.998036946212306,"endHours":13.998036946212306,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.998036946212306,"endHours":14.998036946212306,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.998036946212306,"endHours":15.998036946212306,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.998036946212306,"endHours":16.998036946212306,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.998036946212306,"endHours":17.998036946212306,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.998036946212306,"endHours":18.998036946212306,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.998036946212306,"endHours":19.998036946212306,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.998036946212306,"endHours":20.998036946212306,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.998036946212306,"endHours":21.998036946212306,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.998036946212306,"endHours":22.998036946212306,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.998036946212306,"endHours":23.998036946212306,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.998036946212306,"endHours":24.998036946212306,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.998036946212306,"endHours":25.998036946212306,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.998036946212306,"endHours":26.998036946212306,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.998036946212306,"endHours":27.998036946212306,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.998036946212306,"endHours":28.998036946212306,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.998036946212306,"endHours":29.998036946212306,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":6.715342982317675,"eotMinutes":-2.4880125448329173,"ayanamsa":24.4015}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Trayodaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 April 7, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"April 7, 2039 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:00, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-04-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-04-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-04-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-04-07","x-default":"https://vidhyamitra.com/city/rishikesh/2039-04-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:13:17.924Z","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":"2026-05-31T02:13:17.924Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:13:17.924Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}