{"id":"vidhyamitra:city-day:tirupati:2026-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/tirupati/2026-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-31","date_display":"December 31, 2026 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":2026,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461405.770833,"kali_year":5128,"ahargana":1872940.2708,"sun":{"sidereal_longitude":254.8124,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":164.5818,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.7694,"elapsed_within_tithi_degrees":5.7694},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.5818,"elapsed_within_degrees":4.5818},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.3941},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2026,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461405.770833,"ahargana":1872940.2708,"kali_year":5128,"ayanamsa_lahiri":24.2301,"grahas":{"sun":{"sidereal_longitude":255.12275599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":168.11485600000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":-3.0077},"mars":{"sidereal_longitude":135.12595599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":253.79545600000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":122.045456,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":207.87935600000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":344.124956,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":302.6112,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.6112,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"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":2026,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461405.770833,"kali_year":5128,"ahargana":1872940.2708,"sun":{"sidereal_longitude":254.8124,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":164.5818,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.7694,"elapsed_within_tithi_degrees":5.7694},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.5818,"elapsed_within_degrees":4.5818},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.3941},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.008,"elongation":90.231},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.008,"opposition_distance":89.769}},"eclipse_window_40days":[]},"city":{"slug":"tirupati","name":"Tirupati","lat":13.6288,"lon":79.4192,"tz_offset_hours":5.5,"state":"Andhra Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"tirupati","name":"Tirupati","lat":13.6288,"lon":79.4192,"tz_offset_hours":5.5,"state":"Andhra Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:36","sunsetLocal":"17:56","solarNoonLocal":"12:16","dayLengthHours":11.33309746805002,"dayLengthDisplay":"11 Hours 19 Mins 59 Secs","nightLengthDisplay":"12 Hours 40 Mins 01 Secs","moonriseLocal":"00:30","moonsetLocal":"12:25","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"15:06","startHours":13.676294432236343,"endHours":15.092931615742595,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:36","end":"08:01","startHours":6.593108514705079,"endHours":8.009745698211333,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:26","end":"10:51","startHours":9.426382881717585,"endHours":10.843020065223836,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:37","startHours":9.23749792391675,"endHours":9.615267839518419,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:04","end":"07:22","startHours":7.065320909207164,"endHours":7.367536841688498,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:38","startHours":11.881887333128422,"endHours":12.637427164331758,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:50","startHours":5.08202885229841,"endHours":5.837568683501745,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:36","startHours":5.648683725700911,"endHours":6.593108514705079,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:54","startHours":14.148506826738426,"endHours":14.90404665794176,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:44","end":"18:08","startHours":17.7262059827551,"endHours":18.1262059827551,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:56","end":"18:24","startHours":17.9262059827551,"endHours":18.398418377257183,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:41","end":"19:26","startHours":17.6762059827551,"endHours":19.4262059827551,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:38","startHours":23.88188733312842,"endHours":24.637427164331758,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:36","end":"08:01","startHours":6.593108514705079,"endHours":8.009745698211333,"quality":"auspicious"},{"name":"Roga","start":"08:01","end":"09:26","startHours":8.009745698211333,"endHours":9.426382881717585,"quality":"inauspicious"},{"name":"Udveg","start":"09:26","end":"10:51","startHours":9.426382881717585,"endHours":10.843020065223836,"quality":"inauspicious"},{"name":"Chala","start":"10:51","end":"12:16","startHours":10.843020065223836,"endHours":12.25965724873009,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:41","startHours":12.25965724873009,"endHours":13.676294432236343,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"15:06","startHours":13.676294432236343,"endHours":15.092931615742595,"quality":"auspicious"},{"name":"Kāla","start":"15:06","end":"16:31","startHours":15.092931615742595,"endHours":16.509568799248846,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"17:56","startHours":16.509568799248846,"endHours":17.9262059827551,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:56","end":"19:31","startHours":17.9262059827551,"endHours":19.509568799248846,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"21:06","startHours":19.509568799248846,"endHours":21.092931615742593,"quality":"inauspicious"},{"name":"Śubha","start":"21:06","end":"22:41","startHours":21.092931615742593,"endHours":22.676294432236343,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:16","startHours":22.676294432236343,"endHours":24.25965724873009,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:51","startHours":24.25965724873009,"endHours":25.843020065223836,"quality":"inauspicious"},{"name":"Chala","start":"01:51","end":"03:26","startHours":25.843020065223836,"endHours":27.426382881717586,"quality":"neutral"},{"name":"Labha","start":"03:26","end":"05:01","startHours":27.426382881717586,"endHours":29.009745698211333,"quality":"auspicious"},{"name":"Amṛta","start":"05:01","end":"06:36","startHours":29.009745698211333,"endHours":30.59310851470508,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.593108514705079,"endHours":7.593108514705079,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.593108514705079,"endHours":8.59310851470508,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.59310851470508,"endHours":9.59310851470508,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.59310851470508,"endHours":10.59310851470508,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.59310851470508,"endHours":11.59310851470508,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.59310851470508,"endHours":12.59310851470508,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.59310851470508,"endHours":13.59310851470508,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.59310851470508,"endHours":14.59310851470508,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.59310851470508,"endHours":15.59310851470508,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.59310851470508,"endHours":16.59310851470508,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.59310851470508,"endHours":17.59310851470508,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.59310851470508,"endHours":18.59310851470508,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.59310851470508,"endHours":19.59310851470508,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.59310851470508,"endHours":20.59310851470508,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.59310851470508,"endHours":21.59310851470508,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.59310851470508,"endHours":22.59310851470508,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.59310851470508,"endHours":23.59310851470508,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.59310851470508,"endHours":24.59310851470508,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.59310851470508,"endHours":25.59310851470508,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.59310851470508,"endHours":26.59310851470508,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.59310851470508,"endHours":27.59310851470508,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.59310851470508,"endHours":28.59310851470508,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.59310851470508,"endHours":29.59310851470508,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.59310851470508,"endHours":30.59310851470508,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","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":-23.106725930470837,"eotMinutes":-3.2562349238053434,"ayanamsa":24.2301}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Aṣṭamī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"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":"tirupati"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 31, 2026 CE · Tirupati · Vidhyamitra","description":"December 31, 2026 CE for Tirupati: Kṛṣṇa Aṣṭamī, sūryodaya 06:36, sūryāsta 17:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/tirupati/2026-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/tirupati/2026-12-31","sa":"https://sa.vidhyamitra.com/city/tirupati/2026-12-31","hi":"https://hi.vidhyamitra.com/city/tirupati/2026-12-31","x-default":"https://vidhyamitra.com/city/tirupati/2026-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-23T17:19:31.867Z","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":"2026-07-23T17:19:31.867Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-23T17:19:31.867Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}