{"id":"vidhyamitra:city-day:varanasi:2040-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/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":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:45","sunsetLocal":"17:23","solarNoonLocal":"12:04","dayLengthHours":10.63322629082546,"dayLengthDisplay":"10 Hours 38 Mins 00 Secs","nightLengthDisplay":"13 Hours 22 Mins 00 Secs","moonriseLocal":"23:50","moonsetLocal":"11:38","rahuKala":{"name":"Rāhu Kāla","start":"09:25","end":"10:45","startHours":9.414967999083965,"endHours":10.744121285437146,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:24","end":"14:44","startHours":13.402427858143511,"endHours":14.731581144496694,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:45","end":"08:05","startHours":6.756661426377599,"endHours":8.085814712730782,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:36","startHours":9.23774756090354,"endHours":9.592188437264388,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.19971252182866,"endHours":7.483265222917339,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:26","startHours":11.71883369542948,"endHours":12.427715448151178,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:03","startHours":5.338897920934205,"endHours":6.047779673655902,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.870559235475477,"endHours":6.756661426377599,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:33","startHours":13.845478953594572,"endHours":14.55436070631627,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.18988771720306,"endHours":17.58988771720306,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:50","startHours":17.38988771720306,"endHours":17.83293881265412,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.13988771720306,"endHours":18.88988771720306,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:26","startHours":23.71883369542948,"endHours":24.427715448151176,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:45","end":"08:05","startHours":6.756661426377599,"endHours":8.085814712730782,"quality":"inauspicious"},{"name":"Śubha","start":"08:05","end":"09:25","startHours":8.085814712730782,"endHours":9.414967999083965,"quality":"auspicious"},{"name":"Roga","start":"09:25","end":"10:45","startHours":9.414967999083965,"endHours":10.744121285437146,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:04","startHours":10.744121285437146,"endHours":12.073274571790328,"quality":"inauspicious"},{"name":"Chala","start":"12:04","end":"13:24","startHours":12.073274571790328,"endHours":13.402427858143511,"quality":"neutral"},{"name":"Labha","start":"13:24","end":"14:44","startHours":13.402427858143511,"endHours":14.731581144496694,"quality":"auspicious"},{"name":"Amṛta","start":"14:44","end":"16:04","startHours":14.731581144496694,"endHours":16.060734430849877,"quality":"auspicious"},{"name":"Kāla","start":"16:04","end":"17:23","startHours":16.060734430849877,"endHours":17.38988771720306,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:23","end":"19:04","startHours":17.38988771720306,"endHours":19.060734430849877,"quality":"auspicious"},{"name":"Amṛta","start":"19:04","end":"20:44","startHours":19.060734430849877,"endHours":20.731581144496694,"quality":"auspicious"},{"name":"Kāla","start":"20:44","end":"22:24","startHours":20.731581144496694,"endHours":22.40242785814351,"quality":"inauspicious"},{"name":"Śubha","start":"22:24","end":"00:04","startHours":22.40242785814351,"endHours":24.07327457179033,"quality":"auspicious"},{"name":"Roga","start":"00:04","end":"01:45","startHours":24.07327457179033,"endHours":25.744121285437146,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:25","startHours":25.744121285437146,"endHours":27.414967999083963,"quality":"inauspicious"},{"name":"Chala","start":"03:25","end":"05:05","startHours":27.414967999083963,"endHours":29.08581471273078,"quality":"neutral"},{"name":"Labha","start":"05:05","end":"06:45","startHours":29.08581471273078,"endHours":30.756661426377597,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.756661426377599,"endHours":7.756661426377599,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.756661426377599,"endHours":8.7566614263776,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.7566614263776,"endHours":9.7566614263776,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.7566614263776,"endHours":10.7566614263776,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.7566614263776,"endHours":11.7566614263776,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.7566614263776,"endHours":12.7566614263776,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.7566614263776,"endHours":13.7566614263776,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.7566614263776,"endHours":14.7566614263776,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.7566614263776,"endHours":15.7566614263776,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.7566614263776,"endHours":16.756661426377597,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.756661426377597,"endHours":17.756661426377597,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.756661426377597,"endHours":18.756661426377597,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.756661426377597,"endHours":19.756661426377597,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.756661426377597,"endHours":20.756661426377597,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.756661426377597,"endHours":21.756661426377597,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.756661426377597,"endHours":22.756661426377597,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.756661426377597,"endHours":23.756661426377597,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.756661426377597,"endHours":24.756661426377597,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.756661426377597,"endHours":25.756661426377597,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.756661426377597,"endHours":26.756661426377597,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.756661426377597,"endHours":27.756661426377597,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.756661426377597,"endHours":28.756661426377597,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.756661426377597,"endHours":29.756661426377597,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.756661426377597,"endHours":30.756661426377597,"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":"varanasi"},"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 · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 7, 2040 CE for Vārāṇasī (Kāśī): Kṛṣṇa Aṣṭamī, sūryodaya 06:45, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2040-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2040-01-07","sa":"https://sa.vidhyamitra.com/city/varanasi/2040-01-07","hi":"https://hi.vidhyamitra.com/city/varanasi/2040-01-07","x-default":"https://vidhyamitra.com/city/varanasi/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":"2026-05-14T15:47:59.080Z","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":"2026-05-14T15:47:59.080Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:47:59.080Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}