{"id":"vidhyamitra:city-day:rishikesh:2040-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-01-07","date_display":"January 7, 2040 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":2040,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466160.770833,"kali_year":5141,"ahargana":1877695.2708,"sun":{"sidereal_longitude":261.635,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":170.1096,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.4747,"elapsed_within_tithi_degrees":4.4747},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.1096,"elapsed_within_degrees":10.1096},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.7446},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2040,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466160.770833,"ahargana":1877695.2708,"kali_year":5141,"ayanamsa_lahiri":24.412,"grahas":{"sun":{"sidereal_longitude":261.91697999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":166.80848000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":3.9179},"mars":{"sidereal_longitude":75.07328000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":262.54837999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":156.50548000000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":226.15868,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":166.70668,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":50.6684,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.6684,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2040,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466160.770833,"kali_year":5141,"ahargana":1877695.2708,"sun":{"sidereal_longitude":261.635,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":170.1096,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.4747,"elapsed_within_tithi_degrees":4.4747},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.1096,"elapsed_within_degrees":10.1096},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.7446},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.918,"elongation":91.525},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.918,"opposition_distance":88.475}},"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":"17:32","solarNoonLocal":"12:23","dayLengthHours":10.29702998711359,"dayLengthDisplay":"10 Hours 17 Mins 49 Secs","nightLengthDisplay":"13 Hours 42 Mins 11 Secs","moonriseLocal":"00:10","moonsetLocal":"11:55","rahuKala":{"name":"Rāhu Kāla","start":"09:49","end":"11:06","startHours":9.812770408345266,"endHours":11.099899156734466,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"14:58","startHours":13.674156653512863,"endHours":14.96128540190206,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:32","startHours":7.238512911566869,"endHours":8.525641659956069,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.641153241893374,"endHours":9.984387574797159,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.667555827696602,"endHours":7.9421432940196315,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.043793572219876,"endHours":12.73026223802745,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.865575579951724,"endHours":6.552044245759297,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.380427079307403,"endHours":7.238512911566869,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.103199569642594,"endHours":14.789668235450167,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.33554289868046,"endHours":17.735542898680457,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"17:58","startHours":17.535542898680458,"endHours":17.964585814810192,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.285542898680458,"endHours":19.035542898680458,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.043793572219876,"endHours":24.73026223802745,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:32","startHours":7.238512911566869,"endHours":8.525641659956069,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:49","startHours":8.525641659956069,"endHours":9.812770408345266,"quality":"auspicious"},{"name":"Roga","start":"09:49","end":"11:06","startHours":9.812770408345266,"endHours":11.099899156734466,"quality":"inauspicious"},{"name":"Udveg","start":"11:06","end":"12:23","startHours":11.099899156734466,"endHours":12.387027905123663,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:40","startHours":12.387027905123663,"endHours":13.674156653512863,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"14:58","startHours":13.674156653512863,"endHours":14.96128540190206,"quality":"auspicious"},{"name":"Amṛta","start":"14:58","end":"16:15","startHours":14.96128540190206,"endHours":16.24841415029126,"quality":"auspicious"},{"name":"Kāla","start":"16:15","end":"17:32","startHours":16.24841415029126,"endHours":17.535542898680458,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:32","end":"19:15","startHours":17.535542898680458,"endHours":19.24841415029126,"quality":"auspicious"},{"name":"Amṛta","start":"19:15","end":"20:58","startHours":19.24841415029126,"endHours":20.96128540190206,"quality":"auspicious"},{"name":"Kāla","start":"20:58","end":"22:40","startHours":20.96128540190206,"endHours":22.67415665351286,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:23","startHours":22.67415665351286,"endHours":24.387027905123663,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:06","startHours":24.387027905123663,"endHours":26.099899156734466,"quality":"inauspicious"},{"name":"Udveg","start":"02:06","end":"03:49","startHours":26.099899156734466,"endHours":27.812770408345266,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:32","startHours":27.812770408345266,"endHours":29.525641659956065,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:14","startHours":29.525641659956065,"endHours":31.23851291156687,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.238512911566869,"endHours":8.238512911566868,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.238512911566868,"endHours":9.238512911566868,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.238512911566868,"endHours":10.238512911566868,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.238512911566868,"endHours":11.238512911566868,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.238512911566868,"endHours":12.238512911566868,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.238512911566868,"endHours":13.238512911566868,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.238512911566868,"endHours":14.238512911566868,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.238512911566868,"endHours":15.238512911566868,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.238512911566868,"endHours":16.23851291156687,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.23851291156687,"endHours":17.23851291156687,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.23851291156687,"endHours":18.23851291156687,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.23851291156687,"endHours":19.23851291156687,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.23851291156687,"endHours":20.23851291156687,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.23851291156687,"endHours":21.23851291156687,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.23851291156687,"endHours":22.23851291156687,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.23851291156687,"endHours":23.23851291156687,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.23851291156687,"endHours":24.23851291156687,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.23851291156687,"endHours":25.23851291156687,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.23851291156687,"endHours":26.23851291156687,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.23851291156687,"endHours":27.23851291156687,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.23851291156687,"endHours":28.23851291156687,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.23851291156687,"endHours":29.23851291156687,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.23851291156687,"endHours":30.23851291156687,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.23851291156687,"endHours":31.23851291156687,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.438355528175176,"eotMinutes":-6.292074307419696,"ayanamsa":24.412}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"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 Kṛṣṇa Aṣṭamī","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 7, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"January 7, 2040 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 07:14, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-01-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-01-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-01-07","x-default":"https://vidhyamitra.com/city/rishikesh/2040-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T21:29:53.292Z","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":"2026-05-15T21:29:53.292Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T21:29:53.292Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}