{"id":"vidhyamitra:city-day:melbourne:2115-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2115-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-01-13","date_display":"January 13, 2115 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":2115,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493559.770833,"kali_year":5216,"ahargana":1905094.2708,"sun":{"sidereal_longitude":266.3559,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":117.5611,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.2052,"elapsed_within_tithi_degrees":7.2052},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.5611,"elapsed_within_degrees":10.8944},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9169},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2115,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493559.770833,"ahargana":1905094.2708,"kali_year":5216,"ayanamsa_lahiri":25.4599,"grahas":{"sun":{"sidereal_longitude":266.77343700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":118.927637,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":4.4114},"mars":{"sidereal_longitude":356.675437,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":257.91463699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":256.15433699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":221.25983700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":339.663137,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":38.9376,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":218.9376,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2115,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493559.770833,"kali_year":5216,"ahargana":1905094.2708,"sun":{"sidereal_longitude":266.3559,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":117.5611,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.2052,"elapsed_within_tithi_degrees":7.2052},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.5611,"elapsed_within_degrees":10.8944},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9169},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.411,"elongation":148.795},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.411,"opposition_distance":31.205}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:12","sunsetLocal":"19:45","solarNoonLocal":"12:29","dayLengthHours":14.545647808351724,"dayLengthDisplay":"14 Hours 32 Mins 44 Secs","nightLengthDisplay":"9 Hours 27 Mins 16 Secs","moonriseLocal":"21:17","moonsetLocal":"07:58","rahuKala":{"name":"Rāhu Kāla","start":"17:56","end":"19:45","startHours":17.934343452988124,"endHours":19.75254942903209,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"14:18","startHours":12.479725524856228,"endHours":14.297931500900194,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:07","end":"17:56","startHours":16.11613747694416,"endHours":17.934343452988124,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:05","startHours":8.600886109295768,"endHours":9.085741036240826,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:12","startHours":5.8129702793616875,"endHours":6.2008542209177335,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:58","startHours":11.99487059791117,"endHours":12.964580451801286,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:16","end":"04:14","startHours":3.267481912900136,"endHours":4.237191766790251,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:00","end":"05:12","startHours":3.9947643033177225,"endHours":5.206901620680366,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:52","startHours":14.904000159581514,"endHours":15.873710013471628,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:33","end":"19:57","startHours":19.55254942903209,"endHours":19.95254942903209,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:45","end":"20:22","startHours":19.75254942903209,"endHours":20.358618087713413,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:30","end":"21:15","startHours":19.50254942903209,"endHours":21.25254942903209,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:58","startHours":23.99487059791117,"endHours":24.964580451801286,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:12","end":"07:02","startHours":5.206901620680366,"endHours":7.0251075967243315,"quality":"inauspicious"},{"name":"Chala","start":"07:02","end":"08:51","startHours":7.0251075967243315,"endHours":8.843313572768297,"quality":"neutral"},{"name":"Labha","start":"08:51","end":"10:40","startHours":8.843313572768297,"endHours":10.661519548812262,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:29","startHours":10.661519548812262,"endHours":12.479725524856228,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"14:18","startHours":12.479725524856228,"endHours":14.297931500900194,"quality":"inauspicious"},{"name":"Śubha","start":"14:18","end":"16:07","startHours":14.297931500900194,"endHours":16.11613747694416,"quality":"auspicious"},{"name":"Roga","start":"16:07","end":"17:56","startHours":16.11613747694416,"endHours":17.934343452988124,"quality":"inauspicious"},{"name":"Udveg","start":"17:56","end":"19:45","startHours":17.934343452988124,"endHours":19.75254942903209,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:45","end":"20:56","startHours":19.75254942903209,"endHours":20.934343452988124,"quality":"auspicious"},{"name":"Roga","start":"20:56","end":"22:07","startHours":20.934343452988124,"endHours":22.11613747694416,"quality":"inauspicious"},{"name":"Udveg","start":"22:07","end":"23:18","startHours":22.11613747694416,"endHours":23.297931500900194,"quality":"inauspicious"},{"name":"Chala","start":"23:18","end":"00:29","startHours":23.297931500900194,"endHours":24.479725524856228,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"01:40","startHours":24.479725524856228,"endHours":25.66151954881226,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"02:51","startHours":25.66151954881226,"endHours":26.843313572768295,"quality":"auspicious"},{"name":"Kāla","start":"02:51","end":"04:02","startHours":26.843313572768295,"endHours":28.025107596724332,"quality":"inauspicious"},{"name":"Śubha","start":"04:02","end":"05:12","startHours":28.025107596724332,"endHours":29.206901620680366,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.206901620680366,"endHours":6.206901620680366,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.206901620680366,"endHours":7.206901620680366,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.206901620680366,"endHours":8.206901620680366,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.206901620680366,"endHours":9.206901620680366,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.206901620680366,"endHours":10.206901620680366,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.206901620680366,"endHours":11.206901620680366,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.206901620680366,"endHours":12.206901620680366,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.206901620680366,"endHours":13.206901620680366,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.206901620680366,"endHours":14.206901620680366,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.206901620680366,"endHours":15.206901620680366,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.206901620680366,"endHours":16.206901620680366,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.206901620680366,"endHours":17.206901620680366,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.206901620680366,"endHours":18.206901620680366,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.206901620680366,"endHours":19.206901620680366,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.206901620680366,"endHours":20.206901620680366,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.206901620680366,"endHours":21.206901620680366,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.206901620680366,"endHours":22.206901620680366,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.206901620680366,"endHours":23.206901620680366,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.206901620680366,"endHours":24.206901620680366,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.206901620680366,"endHours":25.206901620680366,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.206901620680366,"endHours":26.206901620680366,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.206901620680366,"endHours":27.206901620680366,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.206901620680366,"endHours":28.206901620680366,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.206901620680366,"endHours":29.206901620680366,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":-21.60226360284213,"eotMinutes":-8.635931491373626,"ayanamsa":25.4599}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"melbourne"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2115 CE · Melbourne, Australia · Vidhyamitra","description":"January 13, 2115 CE for Melbourne, Australia: Kṛṣṇa Tṛtīyā, sūryodaya 05:12, sūryāsta 19:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2115-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2115-01-13","sa":"https://sa.vidhyamitra.com/city/melbourne/2115-01-13","hi":"https://hi.vidhyamitra.com/city/melbourne/2115-01-13","x-default":"https://vidhyamitra.com/city/melbourne/2115-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:17:52.322Z","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":"2026-05-31T21:17:52.322Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:17:52.322Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}