{"id":"vidhyamitra:city-day:rishikesh:2042-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2042-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2042-01-04","date_display":"January 4, 2042 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":2042,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466888.770833,"kali_year":5143,"ahargana":1878423.2708,"sun":{"sidereal_longitude":259.0468,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":51.896,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.8492,"elapsed_within_tithi_degrees":8.8492},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.896,"elapsed_within_degrees":11.896},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.9428},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2042,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466888.770833,"ahargana":1878423.2708,"kali_year":5143,"ayanamsa_lahiri":24.4398,"grahas":{"sun":{"sidereal_longitude":259.35596499999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.229465000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":2.8788},"mars":{"sidereal_longitude":122.290865,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.22706500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":210.21166500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":259.3806649999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":189.911965,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":12.0955,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":192.0955,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2042,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466888.770833,"kali_year":5143,"ahargana":1878423.2708,"sun":{"sidereal_longitude":259.0468,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":51.896,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.8492,"elapsed_within_tithi_degrees":8.8492},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.896,"elapsed_within_degrees":11.896},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.9428},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.879,"elongation":152.849},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.879,"opposition_distance":27.151}},"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":"07:14","sunsetLocal":"17:30","solarNoonLocal":"12:22","dayLengthHours":10.270969573585946,"dayLengthDisplay":"10 Hours 16 Mins 15 Secs","nightLengthDisplay":"13 Hours 43 Mins 45 Secs","moonriseLocal":"15:30","moonsetLocal":"05:28","rahuKala":{"name":"Rāhu Kāla","start":"09:48","end":"11:05","startHours":9.798149387692616,"endHours":11.082020584390861,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:39","end":"14:56","startHours":13.649762977787347,"endHours":14.93363417448559,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:31","startHours":7.23040699429613,"endHours":8.514278190994373,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.626966561466183,"endHours":9.96933221391905,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.658364059862211,"endHours":7.932256581824503,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.02352612863624,"endHours":12.708257433541968,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.860944384484671,"endHours":6.5456756893904,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.374492863163968,"endHours":7.23040699429613,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.077720043353427,"endHours":14.762451348259157,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.301376567882077,"endHours":17.701376567882075,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.501376567882076,"endHours":17.929333633448156,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.251376567882076,"endHours":19.001376567882076,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.023526128636238,"endHours":24.70825743354197,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:31","startHours":7.23040699429613,"endHours":8.514278190994373,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:48","startHours":8.514278190994373,"endHours":9.798149387692616,"quality":"auspicious"},{"name":"Roga","start":"09:48","end":"11:05","startHours":9.798149387692616,"endHours":11.082020584390861,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:22","startHours":11.082020584390861,"endHours":12.365891781089104,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"13:39","startHours":12.365891781089104,"endHours":13.649762977787347,"quality":"neutral"},{"name":"Labha","start":"13:39","end":"14:56","startHours":13.649762977787347,"endHours":14.93363417448559,"quality":"auspicious"},{"name":"Amṛta","start":"14:56","end":"16:13","startHours":14.93363417448559,"endHours":16.217505371183833,"quality":"auspicious"},{"name":"Kāla","start":"16:13","end":"17:30","startHours":16.217505371183833,"endHours":17.501376567882076,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:30","end":"19:13","startHours":17.501376567882076,"endHours":19.217505371183833,"quality":"auspicious"},{"name":"Amṛta","start":"19:13","end":"20:56","startHours":19.217505371183833,"endHours":20.93363417448559,"quality":"auspicious"},{"name":"Kāla","start":"20:56","end":"22:39","startHours":20.93363417448559,"endHours":22.649762977787347,"quality":"inauspicious"},{"name":"Śubha","start":"22:39","end":"00:22","startHours":22.649762977787347,"endHours":24.365891781089104,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"02:05","startHours":24.365891781089104,"endHours":26.08202058439086,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:48","startHours":26.08202058439086,"endHours":27.798149387692618,"quality":"inauspicious"},{"name":"Chala","start":"03:48","end":"05:31","startHours":27.798149387692618,"endHours":29.514278190994375,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:14","startHours":29.514278190994375,"endHours":31.230406994296132,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.23040699429613,"endHours":8.23040699429613,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.23040699429613,"endHours":9.23040699429613,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.23040699429613,"endHours":10.23040699429613,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.23040699429613,"endHours":11.23040699429613,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.23040699429613,"endHours":12.23040699429613,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.23040699429613,"endHours":13.23040699429613,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.23040699429613,"endHours":14.23040699429613,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.23040699429613,"endHours":15.23040699429613,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.23040699429613,"endHours":16.230406994296132,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.230406994296132,"endHours":17.230406994296132,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.230406994296132,"endHours":18.230406994296132,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.230406994296132,"endHours":19.230406994296132,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.230406994296132,"endHours":20.230406994296132,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.230406994296132,"endHours":21.230406994296132,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.230406994296132,"endHours":22.230406994296132,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.230406994296132,"endHours":23.230406994296132,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.230406994296132,"endHours":24.230406994296132,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.230406994296132,"endHours":25.230406994296132,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.230406994296132,"endHours":26.230406994296132,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.230406994296132,"endHours":27.230406994296132,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.230406994296132,"endHours":28.230406994296132,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.230406994296132,"endHours":29.230406994296132,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.230406994296132,"endHours":30.230406994296132,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.230406994296132,"endHours":31.230406994296132,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.72190034153371,"eotMinutes":-5.02390686534617,"ayanamsa":24.4398}},"calendars":{"vikram_samvat":2099,"vikram_samvatsara":"Yuva","saka_samvat":1964,"saka_samvatsara":"Dundubhi","bengali_samvat":1449,"malayalam_era":1218,"nanakshahi_year":573,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2099 Yuva · Śaka 1964 Dundubhi"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 January 4, 2042 CE · Ṛṣikeśa · Vidhyamitra","description":"January 4, 2042 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:14, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2042-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2042-01-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2042-01-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2042-01-04","x-default":"https://vidhyamitra.com/city/rishikesh/2042-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:11:54.986Z","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":"2026-05-31T22:11:54.986Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:11:54.986Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}